Question

Can you prove recurrent relations on integrals by taking derivative of both sides of the equation?

score 50 · Answer 1 · 2023-02-10 14:26:11

50

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Can you prove recurrent relations on integrals by taking derivative of both sides of the equation?

Published on 10 Feb 2023 - 14:26

score 85 · Answer 2 · 2023-02-19 16:55:14

85

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Can't find my error in integrating $\sin(1-2x)\cos(1+2x)$

Published on 19 Feb 2023 - 16:55

score 63 · Answer 3 · 2023-02-25 14:04:53

63

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Reduction expression having $\sec(x)$ and $\tan(x)$ terms

Published on 25 Feb 2023 - 14:04

score 149 · Answer 4 · 2023-03-07 10:09:52

149

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Closed form of the recursion formula for $\int_{0}^{1} \ln^r(1-x)x^n \, dx$

Published on 07 Mar 2023 - 10:09

score 108 · Answer 5 · 2023-04-27 21:31:44

108

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Reduction formula for $I_{n, k} = \int x^k \left({x^2 + A x + B}\right)^n \ \mathrm d x$

Published on 27 Apr 2023 - 21:31

score 54 · Answer 6 · 2026-03-25 07:48:41

54

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Reducing polynomial from Weierstrass substitution from n-degree to n/2-degree

Published on 25 Mar 2026 - 7:48

score 91 · Answer 7 · 2023-06-11 05:12:24

91

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Integral of $\int^{2\pi}_0 \sin^{2n}(x) \cos^{2m}(x)\ dx$

Published on 11 Jun 2023 - 5:12

score 104 · Answer 8 · 2023-06-21 10:13:06

104

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Reduction formula for $I_n (a, b) := \int \frac {a x + b} {(x^2 + A x + B)^n} \mathrm d x$

Published on 21 Jun 2023 - 10:13

score 181 · Answer 9 · 2023-11-24 04:44:38

181

Views

Recurrence relation for $I_n=\int (\sin x+\cos x)^n \,\Bbb dx$

Published on 24 Nov 2023 - 4:44

score 285 · Answer 10 · 2023-12-09 02:10:37

285

Views

Computing $ I_n=\int_0^1 \frac{x^n}{6+x-x^2} d x $

Published on 09 Dec 2023 - 2:10

score 135 · Answer 11 · 2023-12-29 19:32:30

135

Views

how to solve this trigonometric reduction question

Published on 29 Dec 2023 - 19:32

score 67 · Answer 12 · 2024-01-11 10:50:07

67

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What is the reduction formula for $\int\sin^nx \space dx$ from $0$ to $\pi$ or from $0$ to $2\pi$?

Published on 11 Jan 2024 - 10:50

score 126 · Answer 13 · 2024-02-19 10:07:41

126

Views

Is there other method to deal with $\int_0^1 \int_0^1\frac{\ln^m (1+x y)}{(1+x y)^n}d x d y,$ where $m\ge 3?$

Published on 19 Feb 2024 - 10:07

score 157 · Answer 14 · 2015-03-09 17:16:28

157

Views

Find the Reduction Formula

Published on 09 Mar 2015 - 17:16

score 206 · Answer 15 · 2015-07-08 16:28:40

206

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Integration by parts for $I_n=\int \frac 1 {(x^2-1) ^n} d x$ and relation with $I_1$

Published on 08 Jul 2015 - 16:28

List Question

Can you prove recurrent relations on integrals by taking derivative of both sides of the equation?

Can't find my error in integrating $\sin(1-2x)\cos(1+2x)$

Reduction expression having $\sec(x)$ and $\tan(x)$ terms

Closed form of the recursion formula for $\int_{0}^{1} \ln^r(1-x)x^n \, dx$

Reduction formula for $I_{n, k} = \int x^k \left({x^2 + A x + B}\right)^n \ \mathrm d x$

Reducing polynomial from Weierstrass substitution from n-degree to n/2-degree

Integral of $\int^{2\pi}_0 \sin^{2n}(x) \cos^{2m}(x)\ dx$

Reduction formula for $I_n (a, b) := \int \frac {a x + b} {(x^2 + A x + B)^n} \mathrm d x$

Recurrence relation for $I_n=\int (\sin x+\cos x)^n \,\Bbb dx$

Computing $ I_n=\int_0^1 \frac{x^n}{6+x-x^2} d x $

how to solve this trigonometric reduction question

What is the reduction formula for $\int\sin^nx \space dx$ from $0$ to $\pi$ or from $0$ to $2\pi$?

Is there other method to deal with $\int_0^1 \int_0^1\frac{\ln^m (1+x y)}{(1+x y)^n}d x d y,$ where $m\ge 3?$

Find the Reduction Formula

Integration by parts for $I_n=\int \frac 1 {(x^2-1) ^n} d x$ and relation with $I_1$

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