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Mathematics
Problem
In the definite integral
∫
1
3
6
x
e
x
2
+
2
d
x
,
\textstyle\int_{1}^{3} 6x\,e^{x^{2}+2}\,dx,
∫
1
3
6
x
e
x
2
+
2
d
x
,
if the substitution
u
=
x
2
+
2
u=x^{2}+2
u
=
x
2
+
2
is made, which of the following gives the correct new limits of integration in terms of
u
u
u
? a)
u
:
11
→
3
u: 11 \to 3
u
:
11
→
3
b)
u
:
3
→
11
u: 3 \to 11
u
:
3
→
11
c)
u
:
1
→
9
u: 1 \to 9
u
:
1
→
9
d)
u
:
3
→
5
u: 3 \to 5
u
:
3
→
5
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