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ch4aika [34]
2 years ago
6

Calculus. Find the area.

Mathematics
2 answers:
matrenka [14]2 years ago
6 0

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.

Irina18 [472]2 years ago
5 0

Answer:

<em>A = </em>\frac{8}{3}<em> units²</em>

Step-by-step explanation:

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