Question

Calculus. Find the area.

Answer 1

Answer:

8/3 square units.

Step-by-step 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:

$\displaystyle A=\frac{1}{3}x^3\Big|_{0}^2$

Evaluate:

$\displaystyle A=\frac{1}{3}[2^3-0^3]=\frac{1}{3}(8)=\frac{8}{3}$

The area is 8/3 square units.

Answer 2

Answer:

A = $\frac{8}{3}$ units²

Step-by-step explanation: