Reduction Formula Integration Derivation

Reduction Formula for Integral of ∫sin^n(x)dx

In this video, we work through the derivation of the reduction formula for the integral of sin^n(x) or [sin(x)]^n. We can approach this problem with integration by parts. The first step is to rewrite the integral as: ∫sin^n(x)dx = ∫sin^(n-1)(x)sin(x)dx Thus we have 2 parts to the integral, where: u = sin^(n-1)(x) dv = sin(x)dx We can then ...

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