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

AP Calculus ABeasymcq1 pt

What is the average value of $f(x)=\sin x$ on the interval $[0,\pi]$ ?

A.

2

B.

0

C.

\frac{2}{\pi}

D.

\frac{\pi}{2}

Explanation

Core Concept

The integral is $\int_0^\pi\sin x\,dx=2$ . Dividing by the interval length $\pi$ gives $\frac{2}{\pi}$ .

Correct Answer

C $\frac{2}{\pi}$

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