Consider the following.

$20$

x$2($x$3+1)3/2$ dx

Let

u $=$ x$3+1.$

Find du$.$

du $=$

$3$x$2$

dx

Indicate how the limits of integration should be adjusted in order to perform the integration with respect to u$.($Enter your answer using interval notation.$)$

$[0,2]$

$[2,4]$

Evaluate the definite integral.