Question

How to evaluate $\int\frac{dx}{(2\sin x+\sec x)^4}$?

score 109 · Answer 1 · 2016-07-27 15:54:55

109

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How to evaluate $\int\frac{dx}{(2\sin x+\sec x)^4}$?

Published on 27 Jul 2016 - 15:54

score 377 · Answer 2 · 2016-07-27 21:00:56

377

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Generating function for $\sum_{n=0}^{\infty} n^k x^n$

Published on 27 Jul 2016 - 21:00

score 103 · Answer 3 · 2016-07-28 17:05:06

103

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Fourier coefficient and computing an improper integral

Published on 28 Jul 2016 - 17:05

score 545 · Answer 4 · 2016-07-29 12:34:03

545

Views

Evaluation of series $\sum \limits_{n=1}^{\infty} \frac{\arctan n}{n^2}$

Published on 29 Jul 2016 - 12:34

score 174 · Answer 5 · 2016-07-29 21:46:29

174

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Is there a closed form solution for $\frac {d^n}{dx^n} \frac {1}{1-ae^x}$?

Published on 29 Jul 2016 - 21:46

score 617 · Answer 6 · 2016-07-30 04:35:19

617

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How to evaluate the following integral: $\int_0^1\frac{\log(1+x)}{1+x^2}dx$

Published on 30 Jul 2016 - 4:35

score 149 · Answer 7 · 2026-03-27 23:14:17

149

Views

Integration problem involving $f_{\theta}(x) = \frac{1}{\theta} e^{-\frac{x}{\theta}}$: $\int_0^{\infty} f_{\theta}^2(x) e^{\alpha f_{\theta}(x)}dx$

Published on 27 Mar 2026 - 23:14

score 60 · Answer 8 · 2016-08-02 18:33:13

60

Views

Evaluation of $\lim_{n \to \infty} ((n+1)!\ln (a_n))$

Published on 02 Aug 2016 - 18:33

score 37 · Answer 9 · 2016-08-03 03:50:49

37

Views

Solving the following recurrence

Published on 03 Aug 2016 - 3:50

score 236 · Answer 10 · 2026-03-29 12:48:55

236

Views

Closed-form integral $\int_{-1}^1 e^{a x^2 + bx}/\sqrt{1-x^2}dx$

Published on 29 Mar 2026 - 12:48

score 116 · Answer 11 · 2016-08-03 21:10:11

116

Views

Help on how to show that $3-\zeta(2)=\sum_{n=3}^{\infty}n[\zeta(n)-1]?$

Published on 03 Aug 2016 - 21:10

score 257 · Answer 12 · 2016-08-03 22:02:50

257

Views

How did they sum this infinite series: $\sum_{n=1,3,5...} \frac1n e^{-\frac{n\pi x}a}\sin{\frac{n\pi y}a}$?

Published on 03 Aug 2016 - 22:02

score 235 · Answer 13 · 2016-08-04 07:41:00

235

Views

Taylor series expansion of $(x^2-x)\ln(1-x)$ and calculating a sum

Published on 04 Aug 2016 - 7:41

score 98 · Answer 14 · 2016-08-04 16:24:04

98

Views

Finding the coefficient of $x^r$ in exponential series: $\frac{e^{nx}-1}{1-e^{-x}}$

Published on 04 Aug 2016 - 16:24

score 102 · Answer 15 · 2016-08-04 17:41:00

102

Views

Integration giving $\arcsin x$ by a unique method: $\sin^{-1}t=\int_0^t\frac{dx}{\sqrt{1-x^2}}$

Published on 04 Aug 2016 - 17:41

List Question

How to evaluate $\int\frac{dx}{(2\sin x+\sec x)^4}$?

Generating function for $\sum_{n=0}^{\infty} n^k x^n$

Fourier coefficient and computing an improper integral

Evaluation of series $\sum \limits_{n=1}^{\infty} \frac{\arctan n}{n^2}$

Is there a closed form solution for $\frac {d^n}{dx^n} \frac {1}{1-ae^x}$?

How to evaluate the following integral: $\int_0^1\frac{\log(1+x)}{1+x^2}dx$

Integration problem involving $f_{\theta}(x) = \frac{1}{\theta} e^{-\frac{x}{\theta}}$: $\int_0^{\infty} f_{\theta}^2(x) e^{\alpha f_{\theta}(x)}dx$

Evaluation of $\lim_{n \to \infty} ((n+1)!\ln (a_n))$

Solving the following recurrence

Closed-form integral $\int_{-1}^1 e^{a x^2 + bx}/\sqrt{1-x^2}dx$

Help on how to show that $3-\zeta(2)=\sum_{n=3}^{\infty}n[\zeta(n)-1]?$

How did they sum this infinite series: $\sum_{n=1,3,5...} \frac1n e^{-\frac{n\pi x}a}\sin{\frac{n\pi y}a}$?

Taylor series expansion of $(x^2-x)\ln(1-x)$ and calculating a sum

Finding the coefficient of $x^r$ in exponential series: $\frac{e^{nx}-1}{1-e^{-x}}$

Integration giving $\arcsin x$ by a unique method: $\sin^{-1}t=\int_0^t\frac{dx}{\sqrt{1-x^2}}$

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