List questions from trigonometric-integrals

Published on 27 Jun 2018 - 9:14

172

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Facing difficulty in working $\int_{0}^{1}\frac{\arctan\left(\frac{ax}{1-x}\right)}{\sqrt{1-x}}\frac{dx}{x^{3/2}}$

Published on 28 Jun 2018 - 8:42

100

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What is the value of $\int^\infty_{-\infty} \cos^2 x\, dx$?

Published on 29 Jun 2018 - 8:57

159

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Help on evaluating $\int_{0}^{\infty}\frac{\cos\frac2x}{(x^2+4)^2}dx$

Published on 30 Jun 2018 - 5:15

134

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Prove this integral related to the Ising model

Published on 25 Mar 2026 - 7:49

283

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Trick, or Indefinite Integration?

Published on 02 Jul 2018 - 13:08

85

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Evaluating indefinite integrals.

Published on 25 Mar 2026 - 15:45

677

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integration by parts of trig function

Published on 06 Jul 2018 - 12:38

557

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Trying to evaluate $\int_{0}^{\infty}\frac{\ln(1+x^3)}{1+x^3}\frac{dx}{1+x^3}$

Published on 10 Jul 2018 - 21:40

201

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Compute $\int_{0}^{\pi/4}\ln(1-\sqrt[n]{\tan x})\frac{dx}{\cos^2(x)}$

Published on 12 Jul 2018 - 8:26

130

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Compute $\int_{0}^{\pi/2}\csc^2(x)\ln\left(\frac{a+b\sin^2 x}{a-b\sin^2 x}\right)dx$

Published on 13 Jul 2018 - 9:43

436

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Help to evaluate $\int_{0}^{\pi}\sec(x)\sqrt{\tan\left(\frac{x}{2}\right)}\ln^n\tan\left(\frac{x}{2}\right)dx$

Published on 15 Jul 2018 - 9:12

1.1k

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Evaluate $\int_{|z|=4}\tan z dz$

Published on 26 Mar 2026 - 21:12

100

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Evaluating ${\Large\int} _{-\frac{\pi}{2}}^{\frac{\pi}{2}}\frac{\sin(x)+\cos(x)}{\sin^4(x)-4}dx$

Published on 17 Jul 2018 - 10:19

401

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Converting a function of $\cos^2$ to a complete elliptic integral of the first kind

Published on 25 Mar 2026 - 1:17

List Question

How to evaluate this sum $\sum_{k=1}^{n}{n \choose k}(-2)^k\cdot \frac{1-2^{-k}}{k}$

Facing difficulty in working $\int_{0}^{1}\frac{\arctan\left(\frac{ax}{1-x}\right)}{\sqrt{1-x}}\frac{dx}{x^{3/2}}$

What is the value of $\int^\infty_{-\infty} \cos^2 x\, dx$?

Help on evaluating $\int_{0}^{\infty}\frac{\cos\frac2x}{(x^2+4)^2}dx$

Prove this integral related to the Ising model

Trick, or Indefinite Integration?

Evaluating indefinite integrals.

integration by parts of trig function

Trying to evaluate $\int_{0}^{\infty}\frac{\ln(1+x^3)}{1+x^3}\frac{dx}{1+x^3}$

Compute $\int_{0}^{\pi/4}\ln(1-\sqrt[n]{\tan x})\frac{dx}{\cos^2(x)}$

Compute $\int_{0}^{\pi/2}\csc^2(x)\ln\left(\frac{a+b\sin^2 x}{a-b\sin^2 x}\right)dx$

Help to evaluate $\int_{0}^{\pi}\sec(x)\sqrt{\tan\left(\frac{x}{2}\right)}\ln^n\tan\left(\frac{x}{2}\right)dx$

Evaluate $\int_{|z|=4}\tan z dz$

Evaluating ${\Large\int} _{-\frac{\pi}{2}}^{\frac{\pi}{2}}\frac{\sin(x)+\cos(x)}{\sin^4(x)-4}dx$

Converting a function of $\cos^2$ to a complete elliptic integral of the first kind

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