1. ## Integral

Hi everybody,
I don't know how to calculate the following integral:$\displaystyle \int_0^{\frac{\pi}{3}} cos(2x)sin(3x)dx$???
Can you help me please???

2. Originally Posted by lehder
Hi everybody,
I don't know how to calculate the following integral:$\displaystyle \int_0^{\frac{\pi}{3}} cos(2x)sin(3x)dx$???
Can you help me please???
sin(A + B) = sin A cos B + sin B cos A .... (1)

sin(A - B) = sin A cos B - sin B cos A .... (2)

(1) + (2): sin(A + B) + sin(A - B) = 2 sin A cos B.

Use the above to re-write sin(3x) cos(2x).