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Mathematics
Problem
The integral
∫
1
2
sin
(
x
2
)
2
x
d
x
\displaystyle\int_{1}^{2} \sin(x^{2})\,2x\,dx
∫
1
2
sin
(
x
2
)
2
x
d
x
is to be evaluated after the change of variable
u
=
x
2
u = x^{2}
u
=
x
2
. What will be the corresponding limits of integration in terms of
u
u
u
? a)
u
:
1
to
4
u : 1 \text{ to } 4
u
:
1
to
4
b)
u
:
0
to
3
u : 0 \text{ to } 3
u
:
0
to
3
c)
u
:
2
to
4
u : 2 \text{ to } 4
u
:
2
to
4
d)
u
:
1
to
2
u : 1 \text{ to } 2
u
:
1
to
2
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