List questions from reduction-formula

Published on 12 Apr 2026 - 13:44

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

Published on 13 Apr 2026 - 1:42

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

Published on 16 Apr 2026 - 8:57

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Reduction formula proof

Published on 14 Apr 2026 - 14:53

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Proving an inequality of reduction formula by induction

Published on 12 Apr 2026 - 10:01

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Reduction formula Integration

Published on 11 Apr 2026 - 13:19

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

Published on 14 Apr 2026 - 6:45

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

Published on 16 Apr 2026 - 13:03

240

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

Published on 25 Mar 2026 - 17:31

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

Published on 25 Mar 2026 - 17:36

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

Published on 25 Mar 2026 - 16:03

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

Published on 25 Mar 2026 - 16:03

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Reduction formula integration question from STEP

Published on 25 Mar 2026 - 20:32

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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 25 Mar 2026 - 17:42

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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 25 Mar 2026 - 17:44

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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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