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JEEMAIN and NEET
>>
JEEMAIN PAST PAPERS
>>
2003
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Q)
Let
f
(
x
)
be a function satisfying
f
′
(
x
)
=
f
(
x
)
with
f
(
0
)
=
1
and
g
(
x
)
be a function that satisfies
f
(
x
)
+
g
(
x
)
=
x
2
. Then the value of the integral
∫
1
0
f
(
x
)
g
(
x
)
d
x
is :
( A )
e
+
e
2
2
−
3
2
( B )
e
−
e
2
2
−
5
2
( C )
e
+
e
2
2
+
5
2
( D )
e
−
e
2
2
−
3
2
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