The figure shows the region bounded by y =…

The figure shows the region bounded by y = x^2, the x-axis and the lines x = 0 and x = 3.

Question 54

EasyOriginal question

The figure shows the region bounded by $y = x^{2}$ , the $x$ -axis and the lines $x = 0$ and $x = 3$ . What is its area?

$The graph of y = x^{2} with the region under it between x = 0 and x = 3 shaded, down to the x-axis.$

\frac{9}{2}

Correct answerYour answer

8

Correct answerYour answer

9

Correct answerYour answer

18

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

The curve stays above the $x$ -axis on $[0, 3]$ , so the area is $\int_{0}^{3} x^{2}\,dx$ .
That is $9$ square units.

Ten questions from Definite Integrals & Area, at your own pace.

Ten questions from Definite Integrals & Area, at your own pace.