Question

How to evaluate $\frac{1}{2\pi}\int \frac{1}{(1-\alpha \cos \omega)^2 +\alpha^2\sin^2 \omega } \, d\omega$

score 78 · Answer 1 · 2026-03-27 11:48:53

78

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How to evaluate $\frac{1}{2\pi}\int \frac{1}{(1-\alpha \cos \omega)^2 +\alpha^2\sin^2 \omega } \, d\omega$

Published on 27 Mar 2026 - 11:48

score 144 · Answer 2 · 2026-05-10 19:04:30

144

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Types of trigonometric integrals

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score 139 · Answer 3 · 2026-04-29 12:26:40

139

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How to calculate $\int_{ }^{ }\frac{14x+2}{x^2+4}dx$

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score 764 · Answer 4 · 2026-05-10 13:24:01

764

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Trigonometric integral with square root (residue theorem)

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score 107 · Answer 5 · 2026-03-27 14:52:52

107

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Closed form for:$I(j) = \int_0^1 \dfrac{\cos{(\pi j x/2)}}{\sin{(\frac{\pi}{4}(1-x))}} \log{\Big( \frac{\sin{\pi /4}}{\sin{\pi x/4}} \Big)}dx$?

Published on 27 Mar 2026 - 14:52

score 313 · Answer 6 · 2026-05-01 03:40:37

313

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Evaluation of $\int_{0}^\infty \frac{\sin(x)}{x}e^{- x²} dx$

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score 194 · Answer 7 · 2026-05-10 19:16:59

194

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Computing $\lim\limits_{n \to \infty} \int_0^{\frac{\pi}{2}}{\frac{(\sin(x))^{n}}{1-\sin{(x)}}\,\mathrm{d}x} $

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score 148 · Answer 8 · 2026-03-25 20:13:48

148

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Computing $\lim_{n \rightarrow \infty} \int_{0}^{\pi/3} \frac{\sin^{n}x}{\sin^{n}x+\cos^{n}x}dx$ using Dominated Convergence Theorem

Published on 25 Mar 2026 - 20:13

score 182 · Answer 9 · 2026-03-27 13:25:40

182

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Compute $\lim_{n \to \infty} \int_0^{\frac{\pi}{2}} \sum_{k=1}^n (\sin{x})^kdx$

Published on 27 Mar 2026 - 13:25

score 143 · Answer 10 · 2026-04-06 06:43:58

143

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Definite Integral, Trig Substitution

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score 240 · Answer 11 · 2026-03-27 15:07:43

240

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Evaluating $\lim\limits_{h\to 0^+} \frac1h(\int_{0}^{\pi}\sin^{h}x~{\rm d}x-\pi)$

Published on 27 Mar 2026 - 15:07

score 70 · Answer 12 · 2026-04-05 14:18:18

70

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score 548 · Answer 13 · 2026-03-27 11:46:20

548

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Strange Trig Substitution in Integral

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score 105 · Answer 14 · 2026-05-06 23:02:03

105

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definite integration of a trigonometric function with branch cut

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score 517 · Answer 15 · 2026-05-10 14:06:51

517

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An interesting integral $\cos(x)\cos(x^2)\cos(x^3)...$

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List Question

How to evaluate $\frac{1}{2\pi}\int \frac{1}{(1-\alpha \cos \omega)^2 +\alpha^2\sin^2 \omega } \, d\omega$

Types of trigonometric integrals

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