List questions from trigonometric-integrals

Published on 20 Jul 2018 - 8:10

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A closed form for $\int_0^\pi \lvert \sin(m t) \cos(n t) \rvert \, \mathrm{d} t$

Published on 22 Jul 2018 - 22:17

159

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Trying to $\int_{0}^{\pi/2}\cos(2x)\ln^2(\tan(x/2)) dx$

Published on 24 Jul 2018 - 8:43

433

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Find the area enclosed by the ellipse

Published on 24 Jul 2018 - 22:26

47

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Can a limit be changed twice when evaluating an integral?

Published on 25 Jul 2018 - 0:23

147

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Work out $\int_{0}^{\pi/2}\cos^{2n}(x)\ln\sin(x) dx$

Published on 27 Jul 2018 - 7:53

391

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Trying to solve $\int_{0}^{\infty}\frac{\operatorname{arccot}\left(\sqrt{1+x}+\sqrt{2+x}\right)}{1+x} dx$

Published on 27 Jul 2018 - 9:16

196

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Evaluating a common integral for $\arcsin(x)$ using a different method

Published on 26 Mar 2026 - 4:49

217

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Work out $\int_{0}^{1}t^2\cos(2t\pi)\tan(t\pi)\ln[\sin(t\pi)]dt$

Published on 28 Jul 2018 - 8:39

66

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Evaluate $\int_{\alpha_0}^{\alpha}\frac{\sec^2{\alpha} \ d\alpha}{\Vert\vec{r}-\vec{r_Q} \Vert}$

Published on 31 Jul 2018 - 23:48

106

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why radians can be converted to reals in calculus?

Published on 02 Aug 2018 - 4:18

178

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Evaluate $\int_{0}^{\infty}\frac{dx}{(x+\sqrt{1+x^2})^{2n}}\cdot \frac{1}{1+x^2}$

Published on 05 Aug 2018 - 9:43

249

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Trying to evaluate $\int_{0}^{\pi/2}x^s\cot x\arctan(\cot x) dx$

Published on 06 Aug 2018 - 10:04

396

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Evaluate $I_n=\int_0^{\pi/2} \frac{1}{\left( a\cos^2x+b\sin^2x\right)^n} \, dx$

Published on 08 Aug 2018 - 21:00

479

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Integral $\int\sec^2(4x)\tan^2(4x)\,\mathrm{d}x$.

Published on 26 Mar 2026 - 6:32

List Question

Evaluating $\int_{0}^{\infty}\frac{\cos(x/a)-1}{x}\cdot\cos(x)\ln(x) dx$

A closed form for $\int_0^\pi \lvert \sin(m t) \cos(n t) \rvert \, \mathrm{d} t$

Trying to $\int_{0}^{\pi/2}\cos(2x)\ln^2(\tan(x/2)) dx$

Find the area enclosed by the ellipse

Can a limit be changed twice when evaluating an integral?

Work out $\int_{0}^{\pi/2}\cos^{2n}(x)\ln\sin(x) dx$

Trying to solve $\int_{0}^{\infty}\frac{\operatorname{arccot}\left(\sqrt{1+x}+\sqrt{2+x}\right)}{1+x} dx$

Evaluating a common integral for $\arcsin(x)$ using a different method

Work out $\int_{0}^{1}t^2\cos(2t\pi)\tan(t\pi)\ln[\sin(t\pi)]dt$

Evaluate $\int_{\alpha_0}^{\alpha}\frac{\sec^2{\alpha} \ d\alpha}{\Vert\vec{r}-\vec{r_Q} \Vert}$

why radians can be converted to reals in calculus?

Evaluate $\int_{0}^{\infty}\frac{dx}{(x+\sqrt{1+x^2})^{2n}}\cdot \frac{1}{1+x^2}$

Trying to evaluate $\int_{0}^{\pi/2}x^s\cot x\arctan(\cot x) dx$

Evaluate $I_n=\int_0^{\pi/2} \frac{1}{\left( a\cos^2x+b\sin^2x\right)^n} \, dx$

Integral $\int\sec^2(4x)\tan^2(4x)\,\mathrm{d}x$.

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