Question

Integral $\int_0^{\frac{\pi}{2}} x^2 \sqrt{\sin x} \, dx$

score 931 · Answer 1 · 2018-07-06 19:53:49

931

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Integral $\int_0^{\frac{\pi}{2}} x^2 \sqrt{\sin x} \, dx$

Published on 06 Jul 2018 - 19:53

score 97 · Answer 2 · 2018-07-07 02:47:59

97

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Is there a closed-form expression for this integral?

Published on 07 Jul 2018 - 2:47

score 243 · Answer 3 · 2018-07-08 05:04:29

243

Views

How to get the closed form of integration of sigmoid function multiply normal distribution density function

Published on 08 Jul 2018 - 5:04

score 186 · Answer 4 · 2026-03-24 20:31:55

186

Views

Integrals involving the fractional part function and the W-Lambert function

Published on 24 Mar 2026 - 20:31

score 56 · Answer 5 · 2018-07-09 16:47:06

56

Views

Closed form for any Turing computable function?

Published on 09 Jul 2018 - 16:47

score 65 · Answer 6 · 2018-07-10 19:41:19

65

Views

What theorem is used to justify the existence of a minimum of $f$ on $M$

Published on 10 Jul 2018 - 19:41

score 69 · Answer 7 · 2018-07-11 11:11:19

69

Views

$ \int_1^{\infty} \int_1^{\infty} f(x,y) \space dx \space dy $ special case?

Published on 11 Jul 2018 - 11:11

score 89 · Answer 8 · 2018-07-12 15:58:03

89

Views

Yet another bizarre identity involving hypergoemetric functions and gamma functions.

Published on 12 Jul 2018 - 15:58

score 81 · Answer 9 · 2018-07-12 16:29:01

81

Views

From Recurrence relation to closed form

Published on 12 Jul 2018 - 16:29

score 280 · Answer 10 · 2018-07-12 20:29:12

280

Views

Recursive Formula to Closed Form

Published on 12 Jul 2018 - 20:29

score 189 · Answer 11 · 2018-07-13 12:31:00

189

Views

How to search the feasible region in a smart way for the non closed-form optimization problem?

Published on 13 Jul 2018 - 12:31

score 56 · Answer 12 · 2018-07-15 02:57:19

56

Views

Recurrence Relations Defined In Terms of Each Other to Closed Form

Published on 15 Jul 2018 - 2:57

score 54 · Answer 13 · 2018-07-15 21:17:15

54

Views

A better closed-form solution to recursive equation

Published on 15 Jul 2018 - 21:17

score 66 · Answer 14 · 2018-07-18 05:05:38

Show that $\int_0^{\pi /2}\frac{dx}{\sqrt{\cos{x}}}=\int_0^{\pi /2}\frac{dx}{\sqrt{\sin{x}}}=\frac{\Gamma^2(\frac{1}{4})}{2\sqrt{2 \pi}}$

score 113 · Answer 15 · 2018-07-18 16:04:47

113

Views

Evaluating $\int_0^\infty x^{2\alpha-1}(e^{-x^\alpha}-e^{-r^\alpha x^\alpha})^{n-2}e^{-x^\alpha(1+r^\alpha)}\,dx$

Published on 18 Jul 2018 - 16:04

List Question

Integral $\int_0^{\frac{\pi}{2}} x^2 \sqrt{\sin x} \, dx$

Is there a closed-form expression for this integral?

How to get the closed form of integration of sigmoid function multiply normal distribution density function

Integrals involving the fractional part function and the W-Lambert function

Closed form for any Turing computable function?

What theorem is used to justify the existence of a minimum of $f$ on $M$

$ \int_1^{\infty} \int_1^{\infty} f(x,y) \space dx \space dy $ special case?

Yet another bizarre identity involving hypergoemetric functions and gamma functions.

From Recurrence relation to closed form

Recursive Formula to Closed Form

How to search the feasible region in a smart way for the non closed-form optimization problem?

Recurrence Relations Defined In Terms of Each Other to Closed Form

A better closed-form solution to recursive equation

Show that $\int_0^{\pi /2}\frac{dx}{\sqrt{\cos{x}}}=\int_0^{\pi /2}\frac{dx}{\sqrt{\sin{x}}}=\frac{\Gamma^2(\frac{1}{4})}{2\sqrt{2 \pi}}$

Evaluating $\int_0^\infty x^{2\alpha-1}(e^{-x^\alpha}-e^{-r^\alpha x^\alpha})^{n-2}e^{-x^\alpha(1+r^\alpha)}\,dx$

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