Calculus And Computer Science?

Calculus Level 4

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

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

Give your answer to 3 decimal places.

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

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

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