5.3
Can somebody verify this solution for me? Thanks!
Evaluate $7\int xe^{6x^2}dx$ using u substitution
Let $u=6x^2$. Then $\frac{du}{dx}=12x$ and so $\frac{du}{12x}=dx$. Thus we have:
$7 \int xe^{6x^2}dx$
$=7 \int xe^u \frac{du}{12x}$
$= \frac{7}{12} \int e^u du$
$=\frac {7}{12} e^u + C$
$=\frac{7}{12} e^{6x^2} + C$