Consider the function defined by for

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

Problem

Consider the function

r

defined by

r(x)=2

for

x<-1

r(x)=x+3

for

-1\le x\le2

, and

r(x)=5

for

x>2

. An antiderivative

R

satisfies

R(-3)=0

. Compute

R(4)