# How do you integrate #\int _ { 0} ^ { \pi } ( 8e ^ { x } + 6\sin ( x ) ) d x#?

##### 1 Answer

#### Explanation:

If we look at integrating the two sections:

Lets look at

The derivative of the exponent is:

So divide by 1. Which means (before considering limits):

Then lets look at the other section of the integral.

Note that

So:

Now add these two sections together and apply the limits of

Then substitute the upper limit as x then subtract the equation with the lower limit substituted.

Note that