Finding the Integral of sin(x)*cos(x)

**Henryt999** · December 29th 2009, 05:29 AM

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.

**Gusbob** · December 29th 2009, 05:33 AM

Hello Henry,

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

**Archie Meade** · December 29th 2009, 05:34 AM

$SinxCosx=0.5Sin2x$

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

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