Proving \int_0^{\frac{\pi}{4}} \sin^n (x) dx > \frac{1}{2^{n/2}(n+2)}

Jayleen Sanders

Jayleen Sanders

Answered question


Proving 0π4sinn(x)dx>12n2(n+2)

Answer & Explanation

Amari Larsen

Amari Larsen

Beginner2022-01-24Added 10 answers

I would (optionally) substitute sinx=t and integrate by parts twice:

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