# Thread: Finding the Integral of sin(x)*cos(x)

1. ## Finding the Integral of sin(x)*cos(x)

The Problem was:

What is the integrale from 2.0;0 (sin(x)*cos(x) +1)

The question really is how do you integrate sin(x) multiplied with another funktion? I tried to reverse derivate but that did not work. The answer is suppose to be 2,41
Thanks alot in advance.
With kind regards Henry from Sweden.

2. Hello Henry,

You can try substituting $u = \cos(x) \Rightarrow du = -\sin(x)dx$

3. $SinxCosx=0.5Sin2x$

$Instead\ of\ integrating\ the\ product,\ just\ integrate\ Sin2x$