# Calculus And Computer Science?

Calculus Level 3

$\large \displaystyle \int_{0}^{\pi} \sin^{20}x \, dx$

The integral above has a closed form. Find this closed form.

Bonus: Compute $\displaystyle \int_{0}^{\pi} \sin^{80}x \, dx$.

Try a harder version here: Calculus and Computer Science Again?

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