# Question #16bc5

##### 1 Answer

Please see below.

#### Explanation:

The curves intersect where

We need to integrate from

To make sure we get the correct sign, we should determine which function is greater on the interval

One way to do this is to simply choose a test number in the interval, say **Note** below.)

The desired area is

# = [-(2x^3)/3 + 3x^2]_0^3#

# = [(-18+27)-(-0+0)] = 9#

**Note**

Another way to determine which graph is on top is to sketch the graphs.

It is also possible to get the correct answer by choosing an order of subtraction and the making the final answer positive. That is, we can find the absolute value of either integral.

Be careful! Some graders do not approve of this method. They want you to put the subtraction in the order that will give a positive answer. If possible, check with the person who will be evaluating your work.