# Math Help - [Calculus AB] Integration

1. ## [Calculus AB] Integration

Evaluate the Integral: (x)(3^x^2) dx

The exponent in the exponent is confusing me, and I'm not entirely sure how to approach this problem.

2. Originally Posted by Moderatelyconfused
Evaluate the Integral: (x)(3^x^2) dx

The exponent in the exponent is confusing me, and I'm not entirely sure how to approach this problem.
$\int x\cdot 3^{x^2}~dx = \frac{1}{2}\int 3^{x^2}~d(x^2)$

Now recall that $\int a^u~du = \frac{a^u}{\ln{a}} + C$