The figure shows the region bounded by y =…

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

Question 57

EasyOriginal question

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

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

2

Correct answerYour answer

4

Correct answerYour answer

5

Correct answerYour answer

8

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

The curve stays above the $x$ -axis on $[0, 2]$ , so the area is $\int_{0}^{2} x^{3}\,dx$ .
That is $4$ square units.

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

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