List questions from reduction-formula

Published on 19 Jun 2019 - 19:12

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Deriving the reduction formula for $\int\cos^n x\,\mathrm{d}x$

Published on 24 Jun 2019 - 21:27

95

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Recurrence relation for $\int_{0}^{\infty} \frac{1}{(1+x^2/a)^n}dx$

Published on 30 Jun 2019 - 17:50

166

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Reduction formula proof

Published on 07 Aug 2019 - 9:26

80

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Proving an inequality of reduction formula by induction

Published on 02 Sep 2019 - 9:10

48

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Reduction formula Integration

Published on 21 Sep 2019 - 13:51

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Proving the Reduction Formula of $\tan^n(\theta)$

Published on 13 May 2014 - 13:01

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A reduction formula for $\int_0^1 x^n/\sqrt{9 - x^2}\,\mathrm dx$

Published on 14 Dec 2014 - 0:07

239

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Reduction formula to $\sin^n(x)$

Published on 02 Oct 2019 - 16:16

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Reduction formula for $\int \cosh^n x dx$

Published on 09 Oct 2019 - 11:02

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How can the integral $\int_0^\frac{\pi}{2} x \cos ^n{x} dx$ be reduced?

Published on 25 Oct 2019 - 15:05

550

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Alternative proof of reduction formula for $\int {dx \over (a\sin x + b\cos x)^n }$

Published on 07 Nov 2019 - 11:22

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Reduction formula integration question from STEP

Published on 05 Dec 2019 - 21:36

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Show, that $ I_{m,n}:=\int\limits_{0}^{1}x^m(1-x)^n dx \text{ holds }I_{m,n}=\frac{m!\,n!}{(m+n+1)!}$

Published on 10 Dec 2019 - 17:41

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$f(m,n)=\int \frac{x^m}{(1+x^2)^n}\, dx$, prove that $(2n-2)f(m,n)=\frac{-x^{m-1}}{(1+x^2)^{n-1}}+(m-1)f(m-2,n-1)$

Published on 15 Dec 2019 - 4:03

List Question

Help solving an improper integral with recursion of some sort

Deriving the reduction formula for $\int\cos^n x\,\mathrm{d}x$

Recurrence relation for $\int_{0}^{\infty} \frac{1}{(1+x^2/a)^n}dx$

Reduction formula proof

Proving an inequality of reduction formula by induction

Reduction formula Integration

Proving the Reduction Formula of $\tan^n(\theta)$

A reduction formula for $\int_0^1 x^n/\sqrt{9 - x^2}\,\mathrm dx$

Reduction formula to $\sin^n(x)$

Reduction formula for $\int \cosh^n x dx$

How can the integral $\int_0^\frac{\pi}{2} x \cos ^n{x} dx$ be reduced?

Alternative proof of reduction formula for $\int {dx \over (a\sin x + b\cos x)^n }$

Reduction formula integration question from STEP

Show, that $ I_{m,n}:=\int\limits_{0}^{1}x^m(1-x)^n dx \text{ holds }I_{m,n}=\frac{m!\,n!}{(m+n+1)!}$

$f(m,n)=\int \frac{x^m}{(1+x^2)^n}\, dx$, prove that $(2n-2)f(m,n)=\frac{-x^{m-1}}{(1+x^2)^{n-1}}+(m-1)f(m-2,n-1)$

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