Math Help - Integration of Trigo

1. Integration of Trigo

$\int \sin^2(x) \sin (nx)$ over 0 to pi, n is an integer.

2. Re: Integration of Trigo

Use $sin^2(x)=\frac{1}{2}(1 - cos(2x))$
Expand
Use $cos(A)sin(A)=\frac{1}{2}( sin(A-B) + sin(A+B) )$
Integrate

3. Re: Integration of Trigo

Also, look out for special cases for n.