Question

Integrating e^(x^2)
Just wait...I'll post my thing

Answer 1

\[\int\limits_{}^{}e^x*e^xdx\]
\[u = e^x\]
\[\frac{du}{dx}=e^x\]
\[dx=\frac{du}{e^x}\]
\[\int\limits_{}^{}e^x*u*\frac{du}{e^x}=\int\limits_{}^{}udu\]
\[=\frac{u^2}{2}+C\]
\[=\frac{(e^x)^2}{2}+C\]

Answer 2

But then when you differentiate it, you don't get e^(x^2)
What's going on?

Answer 3

e^x^2 does not equal (e^x)*(e^x). (e^x)*(e^x)=e^(2x)

Answer 4

Here is the solution. Your u substitution went wrong. Should have done u=2x.

Answer 5

Yeah thanks I realised just after I posted. Thanks