What is the antiderivative of e^(t^2)?

Answer 1

It cannot be expressed in terms of elementary functions (ie. functions you are familiar with). However, it exists, and is equal to:

int_0^t e^(s^2) ds

Answer 2

sorry, mira...I had to speak up.

First, the question was what was the anti-derivative (or integral) of e^t^2. The first responder was correct.

You answered about the derivative, but your answer is incorrect for the derivative. I had to speak up because your error is very common, and, as a calculus teacher...I had to correct it! The derivative of e^t^2 (with respect to t) would be 2t*e^t^2 because of the chain rule. You don't take the derivative of e^x the same way you take the derivative of x^2.

No offense meant...

Answer 3

the derivative of e^t^2is

t^2 e^[(t^2)-1]