# What is the antiderivative of #e^(2x)#?

##### 2 Answers

Antiderivative is another name for the Integral( if by some misfortune you didnt know)

So,

You can see that

that is

It follows :

NOTE: this is the same as letting

Generally,

It is

You can certainly use the technique of integration by substitution (reversing the chain rule) to find this, you can also reason as follows:

The antiderivative of

But we know some things about derivatives at this point of the course. Among other things, we know that the derivative of

So we know that the drivative of

We also know that constant factors just hang out in front when we take derivatives, so if we stick a

**Note**

An important consequence of the Mean Value Theorem is that a function whose derivative is

Therefore, any function that has derivative