List questions from trigonometric-integrals

Published on 12 Apr 2026 - 11:27

175

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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 16 Apr 2026 - 0:22

103

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

Published on 16 Apr 2026 - 15:18

162

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

Published on 16 Apr 2026 - 4:05

137

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Prove this integral related to the Ising model

Published on 11 May 2026 - 0:27

286

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Trick, or Indefinite Integration?

Published on 16 Apr 2026 - 9:05

87

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Evaluating indefinite integrals.

Published on 10 May 2026 - 22:08

680

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integration by parts of trig function

Published on 13 Apr 2026 - 22:19

560

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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 16 Apr 2026 - 21:24

204

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

Published on 17 Apr 2026 - 10:12

133

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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 17 Apr 2026 - 15:54

439

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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 Apr 2026 - 17:39

1.1k

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

Published on 11 May 2026 - 9:00

103

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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 16 Apr 2026 - 10:30

404

Views

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

Published on 10 May 2026 - 16:12

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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