List questions from trigonometric-integrals

Published on 27 Mar 2026 - 16:20

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Integral with bilinear forms in exponent

Published on 25 Mar 2026 - 2:59

73

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Evaluating $\int_{\pi/2}^{3\pi/2}\frac{1}{\pi\sqrt{1+d\cos(\gamma)}}d\gamma$

Published on 03 Oct 2018 - 23:44

197

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Is there any other way to solve this difficult integral $ \int \frac{1}{ (a^2 \cos ^2 x + b ^ 2 \sin ^2x) ^2} \ dx $

Published on 26 Mar 2026 - 17:34

114

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A difficult 2d trigonometric integral

Published on 10 Oct 2018 - 16:47

256

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Another difficult 2D trigonometric integral

Published on 10 Oct 2018 - 21:36

7.9k

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Integral of $\sin^5(x)\cos(x)$

Published on 26 Mar 2026 - 22:14

68

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On $s(\alpha)=\int_{0}^{\pi/2}\sin^{\alpha}(t)dt$

Published on 27 Mar 2026 - 22:03

2.7k

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Integrate $\int x\sec^2(x)\tan(x)\,dx$

Published on 25 Oct 2018 - 17:25

106

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How to calculate $\frac{I_{n+2}}{I_n}$ of $I_n = \int_{\frac {-\pi}{2}}^\frac{\pi}{2} cos^n \theta d\theta$

Published on 28 Oct 2018 - 13:07

144

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How to integrate $\tan^{-1}\left(\frac{1}{2 \sin(x)}\right)$?

Published on 01 Nov 2018 - 21:19

382

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$\int\sqrt{1-\tan x}~\mathrm{d}{x}.$ (Integral of a trigonometric function under square root)

Published on 25 Mar 2026 - 20:10

46

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$\int^{2\pi}_0\sin\frac{\theta}{2}\cdot\hat{r}d\theta$

Published on 02 Nov 2018 - 11:12

762

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Find $\int_0^\pi \cos^4\theta \sin^3\theta~d\theta$ using de Moivre's theorem

Published on 04 Nov 2018 - 20:16

1.1k

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If a function is extended to make it periodic then must the integration limits also be extended?

Published on 27 Mar 2026 - 19:53

List Question

Solving the Integral without Cauchy Integral formula.

Integral with bilinear forms in exponent

Evaluating $\int_{\pi/2}^{3\pi/2}\frac{1}{\pi\sqrt{1+d\cos(\gamma)}}d\gamma$

Is there any other way to solve this difficult integral $ \int \frac{1}{ (a^2 \cos ^2 x + b ^ 2 \sin ^2x) ^2} \ dx $

A difficult 2d trigonometric integral

Another difficult 2D trigonometric integral

Integral of $\sin^5(x)\cos(x)$

On $s(\alpha)=\int_{0}^{\pi/2}\sin^{\alpha}(t)dt$

Integrate $\int x\sec^2(x)\tan(x)\,dx$

How to calculate $\frac{I_{n+2}}{I_n}$ of $I_n = \int_{\frac {-\pi}{2}}^\frac{\pi}{2} cos^n \theta d\theta$

How to integrate $\tan^{-1}\left(\frac{1}{2 \sin(x)}\right)$?

$\int\sqrt{1-\tan x}~\mathrm{d}{x}.$ (Integral of a trigonometric function under square root)

$\int^{2\pi}_0\sin\frac{\theta}{2}\cdot\hat{r}d\theta$

Find $\int_0^\pi \cos^4\theta \sin^3\theta~d\theta$ using de Moivre's theorem

If a function is extended to make it periodic then must the integration limits also be extended?

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