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?
by
Kunal Verma