Which integral gives the volume of the solid generated by revolving the region bounded by the graph of $y=x^3$, the $x$-axis, and the line $x=2$ about the $x$-axis?

Question

Accepted Answer

A. $\pi\int_0^2 x^6\,dx$

Answer

$\pi\int_0^2 x^6\,dx$

Answer

$\pi\int_0^2 x^3\,dx$

Answer

$2\pi\int_0^2 x^6\,dx$

Answer

$\pi\int_0^2 3x^2\,dx$

Which integral gives the volume of the solid generated by revolving the region bounded by the graph of $y=x^3$ , the $x$ -axis, and the line $x=2$ about the $x$ -axis?

Explanation

Core Concept

Correct Answer

More Unit 8: Applications of Integration practice questions

Which integral gives the volume of the solid generated by revolving the region bounded by the graph of y=x3y=x^3y=x3, the xxx-axis, and the line x=2x=2x=2 about the xxx-axis?

Explanation

Core Concept

Correct Answer

More Unit 8: Applications of Integration practice questions

Which integral gives the volume of the solid generated by revolving the region bounded by the graph of $y=x^3$ , the $x$ -axis, and the line $x=2$ about the $x$ -axis?