# How do you find the area between #f(x)=x^2+2x+1,g(x)=3x+3#?

##### 2 Answers

4.5 square units

#### Explanation:

The points of intersection of the two functions are at:

So, we have to find the area under the curve of

Simplify the are under the curve of the linear equation using geometry, and the area under the curve of the parabola using a fundamental theorem of calculus.

Let

To simplify this, we need to know

Solve

Now continue to simplify the expression above:

Start by finding the intersection points of the two curves.

Hence, the points of intersection are

We now do the graph of each function (on the same grid). We find that

Now for

Now subtract the two areas.

Hence, the area between the graphs of

Hopefully this helps!