List questions from trigonometric-integrals

Published on 08 Jan 2019 - 17:14

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Evaluate $\int\frac{x^2}{(3+4x-4x^2)^{3/2}}dx$

Published on 27 Mar 2026 - 14:28

62

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The integral of

Published on 27 Mar 2026 - 14:29

122

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Trig substitutions. What is going on?

Published on 15 Jan 2019 - 4:52

169

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Is there a closed form for the trigonometric integral $\int\limits_0^{\pi/4}\frac{\cos(2k+1)x}{\cos x} dx$?

Published on 15 Jan 2019 - 17:41

236

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How to integrate $\int_{0}^{2\pi}\frac{\mathrm dx}{(1-a\cos x)^2}$

Published on 16 Jan 2019 - 17:22

416

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What's the answer to $\int \frac{\cos^2x \sin x}{\sin x - \cos x} dx$?

Published on 26 Mar 2026 - 4:14

692

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Evaluating $\int_0^{\pi/2}\operatorname{arcsinh}(2\tan x)\,dx$

Published on 22 Jan 2019 - 8:15

43

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Using Area of Segment - Derive General Formula for the Volume of a Tilted Cylinder Partially Filled with Water

Published on 26 Mar 2026 - 6:10

3.5k

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Why $ \int_0^{2\pi}\frac{\cos t - r}{1 - 2r\cos t + r^2}\,dt=0$ for $r\in[0,1)$

Published on 26 Jan 2019 - 17:16

2.1k

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I'm stuck integrating $\int \sqrt{x^2-a^2} dx$ using trigonometric substitution

Published on 27 Jan 2019 - 16:34

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Evaluate $\int \cosh^3 (x) \sinh^2 (x )dx $

Published on 25 Mar 2026 - 12:55

176

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$\int\frac{\sin(x)}{\sqrt{1-\cos^2(x)}}$ Where did I mess up the domain?

Published on 27 Mar 2026 - 16:09

50

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Indefinite Integration of a trig function

Published on 27 Mar 2026 - 16:02

518

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Solving $\int_0^{\infty} \ln^m(x)\sin\left(x^n\right)\:dx$

Published on 31 Jan 2019 - 12:43

List Question

Integration by Parts only of $\sqrt{1-u^2}$

Evaluate $\int\frac{x^2}{(3+4x-4x^2)^{3/2}}dx$

The integral of

Trig substitutions. What is going on?

Is there a closed form for the trigonometric integral $\int\limits_0^{\pi/4}\frac{\cos(2k+1)x}{\cos x} dx$?

How to integrate $\int_{0}^{2\pi}\frac{\mathrm dx}{(1-a\cos x)^2}$

What's the answer to $\int \frac{\cos^2x \sin x}{\sin x - \cos x} dx$?

Evaluating $\int_0^{\pi/2}\operatorname{arcsinh}(2\tan x)\,dx$

Using Area of Segment - Derive General Formula for the Volume of a Tilted Cylinder Partially Filled with Water

Why $ \int_0^{2\pi}\frac{\cos t - r}{1 - 2r\cos t + r^2}\,dt=0$ for $r\in[0,1)$

I'm stuck integrating $\int \sqrt{x^2-a^2} dx$ using trigonometric substitution

Evaluate $\int \cosh^3 (x) \sinh^2 (x )dx $

$\int\frac{\sin(x)}{\sqrt{1-\cos^2(x)}}$ Where did I mess up the domain?

Indefinite Integration of a trig function

Solving $\int_0^{\infty} \ln^m(x)\sin\left(x^n\right)\:dx$

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