# Let #F(x)=int_(0)^(x^2)e^(x^2)dx# how do you find #F'(x)# ?

##### 1 Answer

#### Explanation:

The best way to approach this is to rewrite this integral. It canbe better re-written to the following:

So that no ambiguity is given about which variable is being integrated

Suppose

Then

Since you can differentiate now, notice that G(0) is a constant so it dissapears. And you are left with

Now if you substitute u=x^2, and use the chain rule then

Now since you know

And you also know that if

Therefore putting it all together and substituting the value of