# Homework Help: Simplifying a trigonometric product

1. Oct 2, 2012

### Manni

Was just double checking if we can simplify this in the following way,

∫ sinx * √(1 + cos2x) dx = ∫ sinx * (1 + cosx) dx

2. Oct 2, 2012

### SammyS

Staff Emeritus
No.

Is $\sqrt{3^2+4^2}=7\ ?$ No !

$\sqrt{3^2+4^2}=\sqrt{25}=5\ .$.

To solve that integral, use substitution .

Ask your self, what's the derivative of cos(x) ?