On the interval the graph of consists of a semicircle of radius lying above the -axis…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

On the interval

[-3,6]

the graph of

f

consists of a semicircle of radius

3

lying above the

x

-axis on

[-3,3]

and

f(x)=0

for

3<x\le6

. Let

g(x)=\int_{-3}^{x} f(t)\,dt.

Calculate the exact value of

g(3)