# How do you find the area cut off by the x axis, above the x-axis, and #y=(3+x)(4-x)#?

##### 1 Answer

Jan 13, 2017

#### Explanation:

Start by expanding.

This is a parabola that opens downward. So, the area we need to find is between

We started in factored form, so we can immediately say that our zeroes are

We need to evaluate the following integral:

Use the second fundamental theorem of calculus to evaluate.

Hopefully this helps!