Reduction Formula for Integral of ∫cos^n(x)dx
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YouTubeMasterWuMathematics
Reduction Formula for Integral of ∫cos^n(x)dx
In this video, we work through the derivation of the reduction formula for the integral of cos^n(x) or [cos(x)]^n. The first step is to rewrite the integral as: ∫cos^n(x)dx = ∫cos^n-1(x)cos(x)dx Thus we have 2 parts to the integral, where: u = cos^n-1(x) dv = cos(x)dx We can then proceed with integration by parts: ∫udv = uv - ∫vdu ...
231.5K viewsSep 11, 2017
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