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I = ∫csc-1xdx I = ∫ csc - 1 x d x. en. However, some other forms of the integral of cosec x are there. To evaluate intcsc^n (x) dx for integer n use the reduction formula: int csc^n (x) dx = (-1)/ (n-1)cotx csc^ (n-2)x+ (n-2)/ (n-1)intcsc^ (n-2)x dx Repeat until you get int csc^2 x dx which is -cotx or you get intcscx dx which is … The cosecant is a trigonometric function that, mathematically, corresponds to: csc ( x) = 1 sin x. Simultaneous equation. In this case, the period is 2 π Join Teachoo Black.2. It helps you practice by showing you the full working (step by step integration). 1. i. ∫csc f(x)f′(x) dx = ln[csc f(x) - cot f How to do the integration of two functions multiplied to each other using the formula? Example-integration of sin x cos x dx. See the proof and examples of integration of cosecx or cosec x with step-by-step solutions.cot(x) rule with respect to x to prove ∫cscxcotxdx = -cscx+c. Let's see some examples for integrals of cosecant: Example 1. ∫csc axdx =1 aln(csc ax- cot ax) + c = 1 aln tan(ax 2) + c ∫ csc a x d x = 1 a ln ( csc a x - cot a x) + c = 1 a ln tan ( a x 2) + c. cos x 2 + sin π 4. Solving ∫ csc2(x)dx K−cot2(x)√ ∫ csc 2 ( x) d x K − cot 2 ( x) where K K is a constant. Type in any integral to get the solution, steps and graph $\begingroup$ @RodrigoSambade No, contrary to what you believe, the function is not well defined, because it has branch points where $\cos z=-1$.xd xtoc+ xcsc xtoc+ xcsc xcsc ∫ = xd xcsc ∫ :swollof sa si fo erawa ma I taht dohtem tsekciuq ehT . csc x + cot x. Then we perform simple substitution, Let. There's a rule of thumb that you can remember: whenever you need to integrate an even power of the cosine function, you need to use the identity: cos2(x) = 1 +cos(2x) 2. It denoted by ∫ sec x dx.7k points) indefinite integral; jee; jee mains; 0 votes. Mathematics. \displaystyle \int \csc x \ dx ∫ cscx dx. Derivatives and antiderivatives.Here "ln" stands for natural logarithm and 'C' is the integration constant. Integration of Cscx Cotx. As a result, we get that. ∫ csc x d x = log e | csc x − cot x | + c. You can define it with values in a suitable Riemann surface, though, but in this case asking for an antiderivative is surely beyond the scope of the OP, who clearly asked about the real case (nobody in the world would use the integral sign for how to integrate 1/(secx + cosecx) please help in integrating these Dear student I = ∫ [ 1 / ( sec x + csc x ) ] dx . cosec^- 8 x dx. The table given below shows the values of the cosecant function which help to simplify the problems and are easy to Another method is to multiply by (cosecx+cotx)/ (cosecx+cotx) and go from there (it becomes f' (x)/f (x) form with adjustment). = ∫( sin2x sinxcos2x −tan2x)dx. (I already know how to prove it using differentiation, but am interested in how one would calculate it without differentiation. We have multiple formulas for this. Integration of csc formula. The following is a list of integrals ( antiderivative functions) of trigonometric functions. ∫csc x cot xdx =– csc x + c ∫ csc x cot x d x = – csc x + c. Integration of Cscx Cotx.1k points) upsee; Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Options. which is the required integral Add the original integral [Math Processing Error] to both sides.10. i no that cosec^2=1/sin^2x but this doesnt help much 2. Q. We know that there is a relationship, but it involves squares, not the 3rd and 5th power we have left after separating cscx cotx. ∫cosec4 x dx Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Answer and Explanation: 1. This means . It's a shorter method. Q. Transcript. Hence the integral becomes $$\int \frac{1+t^2}{2t} \times \frac{dt}{1+t^2}$$ Can you complete the solution? Share. To evaluate intcsc^n (x) dx for integer n use the reduction formula: int csc^n (x) dx = (-1)/ (n-1)cotx csc^ (n-2)x+ (n-2)/ (n-1)intcsc^ (n-2)x dx Repeat until you get int csc^2 x dx which is -cotx or you get intcscx dx which is ln abs (cscx-cotx) The cosecant is a trigonometric function that, mathematically, corresponds to: csc ( x) = 1 sin x.8, 8 ∫_ (𝜋/6)^ (𝜋/4) 〖𝑐𝑜𝑠𝑒𝑐 𝑥〗𝑑𝑥 Let F (𝑥)=∫1 〖𝑐𝑜𝑠𝑒𝑐 𝑥 . = ln|cosecx - cotx|+C as t What is the integral of cosec x? The cosec or cosecant function is the reciprocal of the sine function and mathematically, we can write it as shown below. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. = ln|u| + C. From the fundamental concepts of trigonometry to advanced calculus, we will traverse the intricacies of finding the antiderivative of csc(x). JEE Main 2024 Test Series Evaluate: ∫ dx/ sec x + cosec x. Thus, the integral of cosec x is l o g | c o s e c x-c o t x | + c. Similar questions. Introduction. sin B and cos 2 x = 2 cos 2 x − 1) = 2 log | t + t 2 − 1 | + C, where C is an integration constant. #cosecx#integral#Integration#Integrate#Cscx#Cosecx ∫ dx/ sec x + cosec x = ∫ (sin x cos x/ sin x + cos x) dx = (1/2) ∫ (2 sin x cos x/ sin x + cos x) dx 2019 in Integrals calculus by Abhilasha01 (37. It is denoted by ∫ (csc x)dx. The cosecan integral can be deduced if you know some derivation formulas, then we will see how to get to the result of -\log \left (\cot u+\csc u \right) −log(cotu + cscu) with the derivative formulas. To prove this formula, consider. ∫csc2xdx =- cot x + c ∫ csc 2 x d x = - cot x + c. = ln|t|+C where C is an integral constant, and ln stands for the natural logarithm which is log e.eunitnoc tonnac kcabyalP . According to my sheet of standard integrals, $\int \csc^2x \, dx = -\cot x + C$. Suggest Corrections. To learn more about trigonometry and Integration of function, download BYJU'S-The Learning App and experience the fun in learning. Shraddheya Shendre Shraddheya Shendre. 18. = ∫ cosec 2 x - cosec x cot x cosec x - cot x dx …. Study Materials. This is also known as the antiderivative … Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Special Integrals - 1. It is denoted by ∫ (csc x)dx. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. This is actually a common integral. For integrals of this type, the identities. According to the logarithms, the natural logarithm is also written in the below form simply in mathematics. = ln|cscx − cotx| + C. Let u=\csc {x} u = cscx, dv=\csc^ {2}x dv = csc2 x, du=-\csc {x}\cot {x} \, dx du = −cscxcotxdx, v=-\cot {x} v = −cotx. Integral ∫ 1 x2+8x−3 dx ∫ 1 x 2 + 8 x Let w = cscx − cotx. Type in any integral to get the solution, steps and Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Click here👆to get an answer to your question ️ evaluate int cosec 2 x dx Explanation: This will be a long answer. ∫$\dfrac {d} {dx}$ (-cot x) = ∫cosec 2 x dx +c, c is an integral constant. = 2 log | 2 ( cos π 4. Reply 9. 1 Answer Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. This is also known as the antiderivative of cosec x. Evaluate: ∫ cot^3 x . First we split up the cosines: ∫cos2(x) ⋅ cos2(x) ⋅ cos2(x)dx. Book a free demo. (I) Put cosecx - cotx = t. So, since we differentiate −cotx to get csc2x, ∫csc2xdx = −cotx +C. Related Symbolab blog posts. For a complete list of antiderivative functions, see Lists of integrals. Multiple formulas for the integral of sec x are listed below: If ∫ √1+cosec x dx=f(x)+C, where C is a constant of integration, then f(x) is equal to. The integration of cosecant cotangent is of the form. Then dw = ( − cscxcotx + csc2x)dx. The csc function, also known as the cosecant function, is a trigonometric Integral of cosec(x)sec(x) - How to integrate it step by step using the substitution method!👋 Follow @integralsforyou on Instagram for a daily integral 😉📸 Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Derivative of Cosec x. Type in any integral to get the solution, steps and graph Mathematics Property 1 Question Integrate cosecx dx Solution Verified by Toppr I = ∫ cscx dx ⇒ I =∫ cscx(cscx−cotx) (cscx −cotx) dx Put cscx−cotx =t ⇒ (−cscxcotx+cscxx)dx =dt … Problem-Solving Strategy: Integrating Products and Powers of sinx and cosx. It is denoted by ∫ (csc2x)dx. The derivatives of trigonometric functions result from those of sine and cosine by applying quotient rule.8k points) indefinite integral; jee; jee mains; 0 votes. The formula of the integral of cos contains the integral sign, coefficient of integration, and the function as sine.Prepare to unravel the mysteries and gain a deeper understanding of this fascinating topic as we embark on a journey through the integral of csc(x). We shall learn about it in Section 1. Practice Makes Perfect. But instead of doing the substution explicitly, they wrote that the numerator, (csc2x − cscxcotx)dx was the differential of the denominator, cscx Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the given integralint xcosec 2 x asked Nov 17, 2019 in Integrals calculus by Abhilasha01 (37.Please subscribe to this channel for more math help, a Join this channel to get access to perks: is the technique to solve this question and how to 5.
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Before proving the differentiation of cosec x, let us recall the definition of cosec x (also written as csc x).In the next section, let us go through the formula for the integral of cot2x. By using a reduction formula.8, 8 ∫_ (𝜋/6)^ (𝜋/4) 〖𝑐𝑜𝑠𝑒𝑐 𝑥〗𝑑𝑥 Let F (𝑥)=∫1 〖𝑐𝑜𝑠𝑒𝑐 𝑥 . = − (cscxcotx +csc2x) And so:
The integration of cosec inverse x or arccosec x is x c o s e c − 1 x - l o g | x - x 2 - 1 | + C.5 Substitution; 5.
Claude Leibovici's answer gives the easiest way to integrate this.= ∫ { 1 / [ (1/cos x) + (1/sin x) ] } dx
For any particular small positive value of n you can apply this repeatedly to get down to the integral either of 1 or of cosx.
The integral of inverse cosecant is of the form. csc x dx = csc x. Learning math takes practice, lots of practice. asked Jun 26, 2020 in Indefinite Integral by Vikram01 (51. so far iv tried a few different things 1. So the integration of cosecx is ln|cosecx – cotx|+C where C is an integral constant. 𝑑𝑥〗 Multiplying and Dividing by 𝑐𝑜𝑠𝑒𝑐 𝑥+𝑐𝑜𝑡 𝑥 F (𝑥)=∫1 (𝑐𝑜𝑠𝑒𝑐 𝑥 (𝑐𝑜𝑠𝑒𝑐 𝑥 + 𝑐𝑜𝑡 𝑥))/ (𝑐𝑜𝑠𝑒𝑐
Integration of cosecant squared of x is an important integral formula in integral calculus, and this integral belongs to the trigonometric formulae. The formula of integral of csc contains integral sign, coefficient of integration and the function as csc x.xd x cesoc ∫ + xd x 3 cesoc ∫ - x toc x cesoc - =
. For acute angle θ, find cosec 2θ−
Save to Notebook! Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. The formula of integral of csc contains integral sign, coefficient of integration and the function as csc x. cbse. ∫ c o s e c − 1 x = x c o s e c − 1 x - l o g | x - x 2 - 1 | + C. To derive this formula, we will make use of all of the following rules: The derivative of a sum of functions is the sum of the derivatives of those functions. Suggest Corrections. Sometimes an approximation to a definite integral is
(-cosec x cot x+cosec 2 x)dx = dt. To prove this formula, consider. cos B − cos A. ∫$\dfrac {d} {dx}$ (-cot x) = ∫cosec 2 x dx +c, c is an integral constant. d dx[– cot x + c] =– d dxcot x + d dxc d d x
What is cosec x integration Get the answer to this question and access a vast question bank that is tailored for students. cos2x = 1 2 + 1 2cos(2x) = 1 + cos(2x) 2.
Integral csc (x) Resources · Cool Tools · Formulas & Tables · References · Test Preparation · Study Tips · Wonders of Math Search Proof: Integral csc (x) ( Math | Calculus | Integrals | Table Of | csc x) Discussion of csc x = - ln|csc x + cot x| + C.
Find : ∫ ( (sec x)/ (1 + cosec x))dx. Proof Strategy: The strategy is not obvious. Where c is any constant involved, dx is the coefficient of
Advanced Math Solutions - Integral Calculator, the basics. This states that if is continuous on and is its continuous indefinite integral, then . Conic Sections Transformation. So ∫csc2x − cscxcotx cscx − cotx dx = ∫dw w. Q. d/dx(cscx) = -cscx cotx so perhaps we could split off one of each and rewrite using only cscx. ∫sin 2 x dx. As a result, we get that. Follow edited Nov 26, 2016 at 9:49. The integral formula for csc ( x) is as follows: ∫ csc ( x) dx = -ln|csc ( x) + cot ( x )| + C, where C is any constant. The derivative of csc ( x) is -csc
Cosec x is not defined at the integral multiples of π. The integration of cosecant squared of x is of the form. The derivatives of trigonometric functions result from those of sine and cosine by applying quotient rule. d dx[- cot x + c] =- d dxcot x + d dxc d d x
What is cosec x integration Get the answer to this question and access a vast question bank that is tailored for students. answered Nov 26, 2016 at 9:22. This states that if is continuous on and is its continuous indefinite integral, then . Similar questions.
Learn how to integrate cosecx or cosec x using the formula ∫ cosec x = log |cosec x - cot x| + C. Study Materials.
Save to Notebook! Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. 1 answer. Practice Question Bank. We will prove that ∫cosecx dx = ln|cosecx-cotx|+C. Answer. Q. We recall the standard trig identity for cosecx, and square both sides. In mathematical form, the csc^2x integral is: ∫ csc 2 x d x = − cot x + c. Solve for [Math Processing Error] and add the constant of integration: (-cotxcscx-ln (abs (cotx+cscx)))/2+C We have: I=intcsc^3xdx We will use integration by parts. = ∫( sinx cos2x −sec2x + 1)dx.
What is Integration of Cosec X? The most popular and commonly used integration of cosec x is ln | cosecx − cotx + C.
🏼 - Integral of cosec^2(x) - How to integrate it step by step using integration by substitution!🔍 𝐀𝐫𝐞 𝐲𝐨𝐮 𝐥𝐨𝐨𝐤𝐢𝐧𝐠
Example 3Find the following integrals: (ii) ∫ 〖𝑐𝑜𝑠𝑒𝑐 𝑥 (𝑐𝑜𝑠𝑒𝑐 𝑥+cot𝑥 ) 〗 𝑑𝑥 ∫ 〖𝑐𝑜𝑠𝑒𝑐 𝑥 (𝑐𝑜𝑠𝑒𝑐 𝑥+cot𝑥 ) 〗 𝑑𝑥 = ∫ (𝑐𝑜𝑠𝑒𝑐 𝑥+𝑐𝑜𝑠𝑒𝑐 𝑥 cot𝑥 ) 𝑑𝑥 = ∫ 〖𝑐𝑜𝑠𝑒𝑐^2 𝑥 𝑑𝑥
Integration of cosec x#Cosecx#Integration#Integral #Integrate
Now, we integrate both sides. In mathematical form, the integral of csc x is: $\int \csc xdx = \ln |\csc x - \cot x| + c {2}lt;/p>. = ∫ cscx − 1 cot2x dx.
The integral of cos e c x. I = ∫csc-1x ⋅ 1dx - - - (i) I = ∫ csc - 1 x ⋅ 1 d x
\[\int \csc^{3}x \, dx\] +. All common integration techniques and even special functions are supported.
Exercise 7. This is the calculus part of the question complete, It now remains to show that this solution is equivalent to the given solution; We have; cscx − cotx = 1 sinx − cosx sinx.
Find the integral of (cos x + sin x). Why does integral ∫ 1 (x+cos a)2+(sin a)2dx ∫ 1 ( x + cos a) 2 + ( sin a) 2 d x have two solutions. Was this answer helpful? 2
Exercise 7. dt (cscx−cot2x)(cscx) = ∫ dt t =log|t|+C ∴ ∫ cscx dx =log|cscx−cotx|+C Hence, solved. The integral of the cosecant function, ∫csc(x) dx, has several properties and can be expressed in different forms depending on the context and the techniques used for integration. Thanks! calculus
integral of cos squared x. ∫cosecx dx = ∫ $\dfrac{dt}{t}$ = ln|t|+C where C is an integral constant, and ln stands for the natural logarithm which is log e.6 Integrals Involving Exponential and Logarithmic Functions; 5.
In this video we will find the integral of cosech x. Answer link. > <
Integration of cosecx cotx.
Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. India's #1 Learning Platform Start Complete Exam Preparation Daily Live MasterClasses. The integration of cosecant squared of x is of the form. Functions. Type in any integral to get the solution, steps and
The integral of the cosecant of angle x with respect to x is equal to the natural logarithm of the subtraction of cot of angle x from cosecant of angle x, and plus the constant of integration. 1.2. As with most trigonometric functions, it is a periodic function. asked Nov 16, 2019 in Integrals calculus by Jay01 (39. 0. 1.
Integral of special functions Integral by Partial Fractions Integration by Parts Other Special Integrals Area as a sum Properties of definite integration Integration of Trigonometric Functions, Properties of Definite Integration are all mentioned here. Find MCQs & Mock Test. = ln|cosecx – cotx|+C as t=cosecx – cotx. In mathematical form, the integral of csc x is: $\int \csc xdx = \ln |\csc x – \cot x| + c {2}lt;/p>. Arithmetic.3 The Fundamental Theorem of Calculus; 5. Even though derivatives are fairly straight forward, integrals are Save to Notebook! Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Line Equations Functions Arithmetic & Comp. Evaluate ∫cos3xsin2xdx. 1 answer. There's a rule of thumb that you can remember: whenever you need to integrate an even power of the cosine function, you need to use the identity: cos2(x) = 1 +cos(2x) 2. In this case, the period is 2 π
Join Teachoo Black. Proof. Integration is the inverse process of differentiation. Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class. Interpreting the csc Function. cosec x = 1/sin x We can find the integral of cosec x in three ways as shown below.
Integration, get stuck at x=tan () when calculating arc length. Integration is the inverse of differentiation. Type in any integral to get the solution, steps and graph
this is the tangent half-angle substitution, which reduces the computation of integrals and antiderivatives of trigonometric functions to that of rational fractions. Use Integration by Parts on \int \csc^ {3}x \, dx ∫ csc3xdx. View Solution. what is integration of x sin inverse x. So the integration of cosec 2 x (cosec square x) is equal to -cotx+C where C denotes an integral constant. We begin our exploration of the derivative for the sine function by using the formula to make a reasonable guess at its derivative.
There is a procedure, called the method of partial fractions, that may be used to integrate any rational function. Integration of csc function. int cos^n x dx= (1/n)cos^ (n-1)x sin x + (n-1)/n int cos^ (n-2)x dx. Where C is the integration constant. 15 years ago.snoitulos pets-yb-pets htiw revlos htam eerf ruo gnisu smelborp htam ruoy evloS . 𝑑𝑥〗 Multiplying and Dividing by 𝑐𝑜𝑠𝑒𝑐 𝑥+𝑐𝑜𝑡 𝑥 F (𝑥)=∫1 (𝑐𝑜𝑠𝑒𝑐 𝑥 (𝑐𝑜𝑠𝑒𝑐 𝑥 + 𝑐𝑜𝑡 𝑥))/ (𝑐𝑜𝑠𝑒𝑐
Integration of cosecant squared of x is an important integral formula in integral calculus, and this integral belongs to the trigonometric formulae. If secα = 2 √3, then find the value of 1−cosec α 1+cosec α where α is in IV quadrant.8k points) jee mains 2019
$\frac{d}{dx} \cosec x = -\cosec x \cotan x$ $\int (\cosec x \cotan x) dx = -\cosec x + C$ Notice that, quite by chance, we have come up with formulas for the antiderivatives of $\sin x$ and $\cos x.What is the Integral of Cosec x? The integral of cosec x is denoted by ∫ cosec x dx (or) ∫ csc x dx and its value is ln |cosec x - cot x| + C. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…
Question 18 - CBSE Class 12 Sample Paper for 2018 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards
Explanation: There are many ways to prove this result.
There is no m in the integral. The differentiation of csc x is the process of evaluating the derivative of cosec x with respect to angle x. Verified by Toppr.. The indefinite integral of cosecant squared of angle x function with respect to x is equal to sum of the negative cotangent of angle x and a constant of integration
Click here:point_up_2:to get an answer to your question :writing_hand:int ex cot x cosec2 xdx
Hi i no from formula sheets that the integral of cosec^2x equals-cotx but i still cant work out how to prove this integral.
Here we have shown the integral of cosec^2(x). I = ∫ csc x csc 2 x d x - - - ( ii) csc x and csc 2 x are the first and second functions that form integration by parts. cosec^2x=cot^2x + 1, again couldn't get much further with that any help would be greatly appreciated thanks
According to the standard integral results, it is known that ∫csc2 xdx = − cot x ∫ csc 2 x d x = − cot x since d dxcot x = −csc2 x d d x cot x = − csc 2 x. \int cot(x)cosec(x)dx.
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Save to Notebook! Free integral calculator - solve indefinite, definite and multiple integrals with all the steps.e. The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises.10 "Partial Fractions". For antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functions.8k points) methods of integration; class-12; 0 votes. Thus, the integral of cosec x is l o g | c o s e c x-c o t x | + c. ∫ csc 2 x d x or ∫ cosec 2 x d x. = ln|u| + C. Note that. Strategy: The strategy is not obvious. According to the logarithms, the natural logarithm is also written in the below form simply in mathematics. 2,431 1 1 gold badge 17 17 silver badges 32 32 bronze badges
Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Ex 7. The value of integral ∫ √ x − 2 x − 3 d x is equal to
Like the function sec(x), there is no obvious way to integrate csc(x).suoivbo os etiuq t'nsi ecalp tsrif eht ni taht yb ylpitlum ot gnikniht tub .
Number of value(s) of x satisfying sin -1 x + cos -1 x + sec -1 x + cosec -1 x = π is sin -1 x + cos -1 x + sec -1 x + cosec -1 x = π को संतुष्ट करने वाले x के मान/मानों की संख्या है/हैं
Ex 7. 2.
Click here👆to get an answer to your question ️ int cosec 4 xquad dxquad
The given integral is. Hint. sin2x = 1 2 − 1 2cos(2x) = 1 − cos(2x) 2. Type in any integral to get the solution, steps and graph. Evaluate: ∫ cot^3 x .7 Integrals Resulting in Inverse Trigonometric Functions
What is the Integral of Cosec x? The integral of cosec x is denoted by ∫ cosec x dx (or) ∫ csc x dx and its value is ln |cosec x - cot x| + C.