1 Answer

Imagine · Answer 1 · 2019-06-14T23:38:56+0000

Answer:

I=
$\int\limits {sin^5\theta\ \, d\theta$

Explanation:

substitute x=sinθ

dx=cosθdθ

the integrand becomes sin^5θcosθdθ / sqrt(1 - sin^2θ)

1-sin^2θ=cos^2θ

sqrt(1-sin^2θ)=cosθ

substitute back into the integrand

sin^5θcosθdθ/cosθ

=sin^5θdθ

ans is 5.

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