the problem: $\int 3^{x^2}\, \mathrm{d}x$
I have tried doing some subitution but I can't seem to get a du that works.
$\sqrt{u} = 3^x$ which didn't work,
$u = 3^{x^2}$ -I couldn't find a du for this that I trust.
$\ln u= x^2 \ln 3$ and and several others.
I haven't found any way to rearrage the variables to get a nice du so I can solve it. Meaning I haven't found a way to account for all the $x$ inorder to do subutition.
Am I on the correct path, is subution the method to solve this?
The answer sheets says $\frac{3^{x^2}}{\ln 9} + C$