List questions from trigonometric-integrals

Published on 13 May 2026 - 2:53

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Tan of difference of two angles given as sum of sines and cosines

Published on 07 May 2026 - 10:10

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strange partial integration

Published on 05 May 2026 - 3:06

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Solution of the trigonometric equation $\sin5x =\cos2x$

Published on 11 May 2026 - 19:39

314

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How to compute $\int_{0}^{1}\left (\frac{\arctan x}{1+(x+\frac{1}{x})\arctan x}\right )^2dx$

Published on 11 May 2026 - 23:40

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What happens to $\int_a^b \sin(\sqrt[n]{x})\,dx$ as $n\to\infty$?

Published on 12 May 2026 - 1:13

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Prove that $\forall k>0,\ \int_0^{+\infty}\frac{\sin x}{x+k}dx<\frac1k$.

Published on 07 May 2026 - 13:51

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Calculate Stieltjes Polynomial

Published on 07 May 2026 - 11:39

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Integral of function from $0$ to $\pi$ using $\sin x=t$ substitution

Published on 07 May 2026 - 13:12

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Find an appropriate trigonometric substitution of the form x=f(t) to simplify the integral

Published on 03 May 2026 - 15:09

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Behaviour of a Sequence of Integrals $\int_{0}^{\pi}f(x)\sin(nx)dx$ at Infinity

Published on 03 May 2026 - 9:03

244

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Convergence of $\int_0^{\pi/2}(1+\cos2x)^{-0.5}\,dx$

Published on 10 May 2026 - 19:47

264

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Trig substitution domain

Published on 10 May 2026 - 15:58

441

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Prove $\sum_{n=1}^\infty \text{Ci}(\pi n)=\frac{\ln(2)-\gamma}{2}$

Published on 13 May 2026 - 4:06

185

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$\int{\tan^6{x} \sec^4{x} \, \mathrm dx}$

Published on 10 May 2026 - 16:55

List Question

Sine of the sum of two solutions of $a\cos\theta + b \sin\theta = c$

Tan of difference of two angles given as sum of sines and cosines

strange partial integration

Solution of the trigonometric equation $\sin5x =\cos2x$

How to compute $\int_{0}^{1}\left (\frac{\arctan x}{1+(x+\frac{1}{x})\arctan x}\right )^2dx$

What happens to $\int_a^b \sin(\sqrt[n]{x})\,dx$ as $n\to\infty$?

Prove that $\forall k>0,\ \int_0^{+\infty}\frac{\sin x}{x+k}dx<\frac1k$.

Calculate Stieltjes Polynomial

Integral of function from $0$ to $\pi$ using $\sin x=t$ substitution

Find an appropriate trigonometric substitution of the form x=f(t) to simplify the integral

Behaviour of a Sequence of Integrals $\int_{0}^{\pi}f(x)\sin(nx)dx$ at Infinity

Convergence of $\int_0^{\pi/2}(1+\cos2x)^{-0.5}\,dx$

Trig substitution domain

Prove $\sum_{n=1}^\infty \text{Ci}(\pi n)=\frac{\ln(2)-\gamma}{2}$

$\int{\tan^6{x} \sec^4{x} \, \mathrm dx}$

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