Calculus And Computer Science?

Calculus Level 3

0πsin20xdx \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 0πsin80xdx\displaystyle \int_{0}^{\pi} \sin^{80}x \, dx .

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

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