CPM Homework Help : CALC3RD Problem 7-144

Rewrite each integral using a $u$ -substitution. Pay attention to the bounds. You do not need to complete the integration.

$\int _ { 0 } ^ { 2 } x e ^ { 3 x ^ { 2 } } d x$
Hint (a):
Let $u = 3x^2$ . Write a new integrand AND write new bounds.
Answer (a):
$=\frac{1}{6}\int_{0}^{12}e^{u}du$

$\int _ { - 2 } ^ { 3 } \frac { 5 x ^ { 2 } } { x ^ { 3 } + 1 } d x$
Hint (b):
Remember that the current bounds are $x$ -values. They need to be converted to $u$ -values.