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JEE Advanced 2012 Paper 2 Mathematics Q16
Mathematics
Problem
If
f
(
x
)
=
∫
0
x
e
t
2
(
t
−
2
)
(
t
−
3
)
d
t
f(x)=\displaystyle\int_0^x e^{t^2}(t-2)(t-3)\,dt
f
(
x
)
=
∫
0
x
e
t
2
(
t
−
2
)
(
t
−
3
)
d
t
for all
x
∈
(
0
,
∞
)
x\in(0,\infty)
x
∈
(
0
,
∞
)
, then
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