E^(t^2) i solved it, but can you verify please?

[seto6]

Homework Statement

so this is the problem:

Homework Equations

The fundamental therom of calculus: http://mathworld.wolfram.com/FundamentalTheoremsofCalculus.html

The Attempt at a Solution

here is what i did, is this valid to do so. {sorry for being large}

as you can see i derived both sides to get that.:::::::

 

[Dick]

It looks fine, except you aren't finding the integral. You are finding the DERIVATIVE of the integral. Try to be clear on that.