# What is the antiderivative of #e^(8x)#?

##### 1 Answer

Jan 22, 2016

#### Explanation:

We can go through the steps of integrating by substitution, but some find the following more clear:

We know that

That is

The general antiderivative is, therefore,

**Here is the substitution solution**

Let

The integral becomes:

Reversing the substitution gives