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

AP Calculus ABmediummcq1 pt

What is the total area between the graph of $y=\sin x$ and the $x$ -axis on the interval $[0,2\pi]$ ?

A.

0

B.

2

C.

4

D.

8

Explanation

Core Concept

Sine is positive on $[0,\pi]$ and negative on $[\pi,2\pi]$ . The area is $\int_0^\pi\sin x\,dx+\int_\pi^{2\pi}(-\sin x)\,dx=2+2=4$ .

Correct Answer

C $4$

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