Question

Calculus. Find the area.

Answer 1

A =
`(8)/(3)` units²

Explanation:

Answer 2

8/3 square units.

Explanation:

First, visualize the area. You can refer to the attachment below.

To find the area then, we will integrate y from x = 0 to x = 2. Therefore:

`\displaystyle A=\int_0^2x^2\, dx`

Integrate:

`\displaystyle A=(1)/(3)x^3\Big|_(0)^2`

Evaluate:

`\displaystyle A=(1)/(3)[2^3-0^3]=(1)/(3)(8)=(8)/(3)`

The area is 8/3 square units.