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

AP Calculus ABmediummcq1 pt

What is the total area of the regions enclosed by the graphs of $y=x^3$ and $y=4x$ ?

A.

4

B.

8

C.

0

D.

16

Explanation

Core Concept

The area is $\int_{-2}^0(x^3-4x)\,dx+\int_0^2(4x-x^3)\,dx$ . These give $[\frac{x^4}{4}-2x^2]_{-2}^0+[2x^2-\frac{x^4}{4}]_0^2=4+4=8$ .

Correct Answer

B $8$

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