- #1

Jack_B

- 5

- 0

## Homework Statement

The problem requires the computation of an indefinite integral but says to "interpret as areas" which basically changes the question to the following;

What is the area under the curve of the function y = root( 6 - 2x

^{2}+ 4x) from x = -1 to x = 3

## Homework Equations

Relevant equations would include the area of a circle, A=pi*r

^{2}

## The Attempt at a Solution

To begin with, I am not sure if the function is just a semi circle or also extends beyond just half of a circle. That being said, with the assumption that the function is a semi circle, the diameter is 4 (3 - (-1)), thus the radius is 2, making the total area (1/2)pi*2

^{2}. However, with a graphing calculator, I can see that the area is 8.89.

Therefore I am led to believe that the area under the curve is a semicircle + a rectangular area. However, I am unsure as to how I can find the radius of the semicircle and the height of the rectangle.