Question

Integral $\int_{-\infty}^\infty e^{-x^2-\cos^2(x)}\sin^2(x) dx$

score 131 · Answer 1 · 2021-08-18 09:28:27

131

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Integral $\int_{-\infty}^\infty e^{-x^2-\cos^2(x)}\sin^2(x) dx$

Published on 18 Aug 2021 - 9:28

score 60 · Answer 2 · 2026-03-25 19:06:22

60

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Is there a closed form for the recursively defined function $f_{n+1}(x) := f_n(x)^{f_n(x)}$.

Published on 25 Mar 2026 - 19:06

score 60 · Answer 3 · 2026-03-25 17:40:12

60

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closed form in terms of a polygamma function? $ f(2,2)=\sum \sum \exp\big(- n^2k^2 \big)? $

Published on 25 Mar 2026 - 17:40

score 222 · Answer 4 · 2026-04-11 11:24:12

222

Views

Hitting a target with a die: finding a better closed form of the recursive formula

Published on 11 Apr 2026 - 11:24

score 123 · Answer 5 · 2021-08-25 09:35:01

123

Views

Does this integral has a solution? $\int_{-1}^{1}e^{-((\frac{1}{t-1})^2+(\frac{1}{t+1})^2)}\text{d}t$

Published on 25 Aug 2021 - 9:35

score 472 · Answer 6 · 2026-04-10 19:54:51

472

Views

How was the closed form of this alternating sum of squares calculated?

Published on 10 Apr 2026 - 19:54

score 54 · Answer 7 · 2026-04-12 09:10:55

54

Views

Is there a closed form expression for this sum?

Published on 12 Apr 2026 - 9:10

score 133 · Answer 8 · 2021-08-30 22:15:35

133

Views

Solving $2\sin(\omega x)+\sin(\omega y)=0$, $\;2y-4x=c$ for $x$ and $y$. Is there a closed form?

Published on 30 Aug 2021 - 22:15

score 316 · Answer 9 · 2021-09-01 09:41:53

316

Views

Calculate the closed form of the following series

Published on 01 Sep 2021 - 9:41

score 1k · Answer 10 · 2026-04-08 17:52:24

1k

Views

What is $\mathcal{R}$?

Published on 08 Apr 2026 - 17:52

score 140 · Answer 11 · 2026-04-13 00:38:15

140

Views

Closed from for the series involving gamma function

Published on 13 Apr 2026 - 0:38

score 113 · Answer 12 · 2026-03-28 03:26:19

113

Views

Find the closed form for the generating fuction

Published on 28 Mar 2026 - 3:26

score 156 · Answer 13 · 2026-04-13 01:11:02

156

Views

Inverse of a sum of special matrices

Published on 13 Apr 2026 - 1:11

score 496 · Answer 14 · 2026-04-10 22:58:40

496

Views

Is there a connection between the sum of $\sum_{n=1}^\infty \frac{\ln(n+1)-\ln(n)}{n}$ and the Riemann zeta function?

Published on 10 Apr 2026 - 22:58

score 286 · Answer 15 · 2021-09-21 19:11:17

286

Views

Is $\int_{-\infty}^0 \max\left(\frac{\cos(x)}{x},\frac{\sin(x)}{x}\right)dx+\int_0^\infty \min\left(\frac{\cos(x)}{x},\frac{\sin(x)}{x}\right)dx=\pi?$

Published on 21 Sep 2021 - 19:11

List Question

Integral $\int_{-\infty}^\infty e^{-x^2-\cos^2(x)}\sin^2(x) dx$

Is there a closed form for the recursively defined function $f_{n+1}(x) := f_n(x)^{f_n(x)}$.

closed form in terms of a polygamma function? $ f(2,2)=\sum \sum \exp\big(- n^2k^2 \big)? $

Hitting a target with a die: finding a better closed form of the recursive formula

Does this integral has a solution? $\int_{-1}^{1}e^{-((\frac{1}{t-1})^2+(\frac{1}{t+1})^2)}\text{d}t$

How was the closed form of this alternating sum of squares calculated?

Is there a closed form expression for this sum?

Solving $2\sin(\omega x)+\sin(\omega y)=0$, $\;2y-4x=c$ for $x$ and $y$. Is there a closed form?

Calculate the closed form of the following series

What is $\mathcal{R}$?

Closed from for the series involving gamma function

Find the closed form for the generating fuction

Inverse of a sum of special matrices

Is there a connection between the sum of $\sum_{n=1}^\infty \frac{\ln(n+1)-\ln(n)}{n}$ and the Riemann zeta function?

Is $\int_{-\infty}^0 \max\left(\frac{\cos(x)}{x},\frac{\sin(x)}{x}\right)dx+\int_0^\infty \min\left(\frac{\cos(x)}{x},\frac{\sin(x)}{x}\right)dx=\pi?$

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