Question

Integration of (cos x/2 - sin x/2)^2

Answer 1

Answer:

Use Integration by Substitution. Using u and d u du du above, rewrite ∫ cos 2 x sin x d x \int \cos^{2}x\sin{x} \, dx ∫cos2xsinxdx. Use Power Rule: ∫ x n d x = x n + 1 n + 1 + C \int {x}^{n} \, dx=\frac{{x}^{n+1}}{n+1}+C ∫xndx=n+1xn+1+C. Substitute u = cos x u=\cos{x} u=cosx back into the original integral.

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