Apentix/AP Calculus AB/Unit 8: Applications of Integration/Question

AP Calculus ABeasymcq1 pt

Which integral gives the area of the region bounded by the graph of $y=x^3$ and the $x$ -axis from $x=1$ to $x=2$ ?

A.

\int_1^2 x^3\,dx

B.

\int_1^2 x^6\,dx

C.

\int_1^2 3x^2\,dx

D.

\int_0^2 x^3\,dx

Explanation

Core Concept

On $[1,2]$ the region lies between the curve and the $x$ -axis, so its area is the integral of $x^3$ from 1 to 2.

Correct Answer

A $\int_1^2 x^3\,dx$

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