List questions from trigonometric-integrals

Published on 11 Apr 2026 - 12:10

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Simpler alternative for $\int\frac{dx}{2\sin x+3\cos x+7}$

Published on 16 Apr 2026 - 2:19

584

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How to effectively calculate $\int_0^\pi \sin^3x \sin(nx)dx$, $n\in \mathbb{N}$

Published on 16 Apr 2026 - 3:15

1.7k

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How to you use the trigonometric functions without a calculator?

Published on 10 May 2026 - 21:26

209

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Why does y=cot(theta) have zeros at the points where y=tan(theta) has asymptotes

Published on 10 May 2026 - 19:14

102

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Integrating $\left|f(x)\right|$ by pulling out $\mathrm{sgn}(f(x))$ from the integral

Published on 15 Apr 2026 - 6:28

243

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Definite integral $\int_0^{\pi/12} \left( \frac{e^x \cos(x)}{\cos(x+\frac\pi4)} \right)^2 {\rm d}x= e^{\pi/6} \cos \left( \frac\pi6 \right) - \frac12$

Published on 16 Apr 2026 - 20:46

206

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Find : $\int_0^{\infty}\frac{\cos (2ax)}{x}\tanh (2πx)dx$

Published on 16 Apr 2026 - 15:57

56

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Verification of this integral

Published on 13 Apr 2026 - 9:47

88

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Solve an integral with product of trigonometric functions squared

Published on 11 Apr 2026 - 19:39

248

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Integral $\int_0^{\pi / 4}\frac{x\tan^2 x\ln\left(\tan x\right)}{\cos^2 x}dx$

Published on 16 Apr 2026 - 8:37

142

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Evaluating the integral $\int_0^{\pi/2}\frac{\cos^{3/2}x}{\sin x\sqrt{\lambda-2\cos x-2\ln(1-\cos x)+2\ln(\sin x)}}\,\mathrm dx$

Published on 17 Apr 2026 - 11:59

64

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limit value ! solution in detail please

Published on 11 Apr 2026 - 5:34

227

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Trigonometry substitution issue with sign

Published on 11 Apr 2026 - 9:54

315

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How can I compute this integral in closed form : $\int_0^{\frac{π}{4}}\ln^2(\tan x)dx$

Published on 10 May 2026 - 18:59

List Question

The Integral of $\int \sin(ax) \cos(ax) dx$

Simpler alternative for $\int\frac{dx}{2\sin x+3\cos x+7}$

How to effectively calculate $\int_0^\pi \sin^3x \sin(nx)dx$, $n\in \mathbb{N}$

How to you use the trigonometric functions without a calculator?

Why does y=cot(theta) have zeros at the points where y=tan(theta) has asymptotes

Integrating $\left|f(x)\right|$ by pulling out $\mathrm{sgn}(f(x))$ from the integral

Definite integral $\int_0^{\pi/12} \left( \frac{e^x \cos(x)}{\cos(x+\frac\pi4)} \right)^2 {\rm d}x= e^{\pi/6} \cos \left( \frac\pi6 \right) - \frac12$

Find : $\int_0^{\infty}\frac{\cos (2ax)}{x}\tanh (2πx)dx$

Verification of this integral

Solve an integral with product of trigonometric functions squared

Integral $\int_0^{\pi / 4}\frac{x\tan^2 x\ln\left(\tan x\right)}{\cos^2 x}dx$

Evaluating the integral $\int_0^{\pi/2}\frac{\cos^{3/2}x}{\sin x\sqrt{\lambda-2\cos x-2\ln(1-\cos x)+2\ln(\sin x)}}\,\mathrm dx$

limit value ! solution in detail please

Trigonometry substitution issue with sign

How can I compute this integral in closed form : $\int_0^{\frac{π}{4}}\ln^2(\tan x)dx$

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