List questions from reduction-formula

Published on 25 Mar 2026 - 9:24

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Solving reduction formula problem

Published on 25 Mar 2026 - 12:45

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Reduction formula for $\int\frac{dx}{(ax^2+b)^n}$

Published on 25 Mar 2026 - 9:26

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Integration of $e^{ax}\cos^n bx$ and $e^{ax}\sin^n bx$

Published on 25 Mar 2026 - 11:06

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Integral $\int \frac{\sin^n(x)}{\cos(x)}dx$

Published on 25 Mar 2026 - 9:26

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Prove reduction formula for $\int\frac{dx}{(a^2-x^2)^n}$ using integration by parts

Published on 25 Mar 2026 - 11:13

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$I_{m,n}=\int\frac{x^m}{(ax^2+bx+c)^n}dx$ Reduction Formula

Published on 25 Mar 2026 - 9:27

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General recurrence $f(n)=\alpha(n)+\beta(n)f(n-1)$

Published on 25 Mar 2026 - 11:13

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Determine the recurrence formula

Published on 25 Mar 2026 - 9:32

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Evaluate $\int_{0}^{\pi/2}\cos^{2n+1}(x)dx$

Published on 25 Mar 2026 - 9:25

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By creating a reduction formula for $I_n=\int_0 ^\pi x^n \sin x \,dx$ Show that $I_4=\pi^4 -12\pi^2 + 48$

Published on 25 Mar 2026 - 12:28

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Given $ I_n=\int_{0}^{1}\frac{(1-x)^n}{n!}e^x\,dx $, prove that $ I_n=\frac{1}{(n+1)!}+I_{n+1} $

Published on 21 Mar 2026 - 20:07

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Reduction Formulae Integral $x(1-x^3)$

Published on 21 Mar 2026 - 18:49

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Recursional Formula for Integration

Published on 21 Mar 2026 - 16:18

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Reduction formula for definite integral of $\sin^2(x)$.

Published on 22 Mar 2026 - 2:33

List Question

Find a reduction formula for a trigonometric integral

Solving reduction formula problem

Reduction formula for $\int\frac{dx}{(ax^2+b)^n}$

Integration of $e^{ax}\cos^n bx$ and $e^{ax}\sin^n bx$

Integral $\int \frac{\sin^n(x)}{\cos(x)}dx$

Prove reduction formula for $\int\frac{dx}{(a^2-x^2)^n}$ using integration by parts

$I_{m,n}=\int\frac{x^m}{(ax^2+bx+c)^n}dx$ Reduction Formula

General recurrence $f(n)=\alpha(n)+\beta(n)f(n-1)$

Determine the recurrence formula

Evaluate $\int_{0}^{\pi/2}\cos^{2n+1}(x)dx$

By creating a reduction formula for $I_n=\int_0 ^\pi x^n \sin x \,dx$ Show that $I_4=\pi^4 -12\pi^2 + 48$

Given $ I_n=\int_{0}^{1}\frac{(1-x)^n}{n!}e^x\,dx $, prove that $ I_n=\frac{1}{(n+1)!}+I_{n+1} $

Reduction Formulae Integral $x(1-x^3)$

Recursional Formula for Integration

Reduction formula for definite integral of $\sin^2(x)$.

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