Solving Formulas with Odd/Even Conditions - Math Homework

[aspiring_gal]

Homework Equations

integral 0 to pi/2 ((cos^n)x dx),
integral 0 to pi/2 ((sin^m)x dx),
integral 0 to pi/2 ((sin^m)x * (cos^n)x dx),
condition: when m,n odd; m,n even , m even n odd n so on...

The Attempt at a Solution

ans hints:

(m-1)/(m+n) * (m-3)/(m+n-2) ....

 

[Mark44]

You omitted section 1, the description of the problem, and in section 2, "Relevant equations" you don't show a single equation.

What exactly is the problem you want to work?