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# C4 Integration of e - Ahh watch

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1. Find by recognition: (chain rule backwards)

I'm completely stuck with this! A worked solution would be fantastic
2. What do you get when you differentiate (with respect to x)?
3. IF you call the (e^x^2) (e^u) instead, then find du in terms of dx, you should be able to work it out more easily like that.
4. I think I was having problems differentiating like calcium said.

If its

=

But shouldnt the power be raised, as in normal integrations like =
5. Yep, the answer is (+c)

Think about integrating e^x or e^3x. You don't change the exponent when integrating.
6. Why is e^x lonely?
Because when it tries to integrate it just ends up with itself.

That joke helps me everytime.
(Add the constant of integration though :P)
7. (Original post by Earl Grey)
I think I was having problems differentiating like calcium said.

If its
Noo. You can't integrate e^(x^2). You can differentiate it, and you can integrate xe^(x^2).

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Updated: March 16, 2008
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