Evaluate the integral.

$1$

$2+$

$45$

u$4$

$12$

u$9$

$$du$0$

Step $1$

An anti$-$derivative of

kxn$,$

as long as

n $1,$

is

k

xn$+1$

n$+1$

n$+1$

n$+1$

$.$

Step $2$

Therefore, an antiderivative of

f$($u$)=2+$

$45$

$$u$4$

$12$

$$u$9$

is

F$($u$)=2+$

$45$

$$

u

$$

$12$

$$

u