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Mathematics
Mathematics
Problem
Consider the function
r
r
r
defined by
r
(
x
)
=
2
r(x)=2
r
(
x
)
=
2
for
x
<
−
1
x<-1
x
<
−
1
,
r
(
x
)
=
x
+
3
r(x)=x+3
r
(
x
)
=
x
+
3
for
−
1
≤
x
≤
2
-1\le x\le2
−
1
≤
x
≤
2
, and
r
(
x
)
=
5
r(x)=5
r
(
x
)
=
5
for
x
>
2
x>2
x
>
2
. An antiderivative
R
R
R
satisfies
R
(
−
3
)
=
0
R(-3)=0
R
(
−
3
)
=
0
. Compute
R
(
4
)
R(4)
R
(
4
)
.
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