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Mathematics
Mathematics
Problem
If
∫
x
e
2
x
d
x
\int x e^{2x} dx
∫
x
e
2
x
d
x
is equal to
e
2
x
f
(
x
)
+
C
e^{2x} f(x) + C
e
2
x
f
(
x
)
+
C
where
C
C
C
is constant of integration, then
f
(
x
)
f(x)
f
(
x
)
is (a)
(
3
x
−
1
)
/
4
(3x - 1)/4
(
3
x
−
1
)
/4
(b)
(
2
x
+
1
)
/
2
(2x + 1)/2
(
2
x
+
1
)
/2
(c)
(
2
x
−
1
)
/
4
(2x - 1)/4
(
2
x
−
1
)
/4
(d)
(
x
−
4
)
/
6
(x - 4)/6
(
x
−
4
)
/6
(a)
(
3
x
−
1
)
/
4
(3x - 1)/4
(
3
x
−
1
)
/4
(b)
(
2
x
+
1
)
/
2
(2x + 1)/2
(
2
x
+
1
)
/2
(c)
(
2
x
−
1
)
/
4
(2x - 1)/4
(
2
x
−
1
)
/4
(d)
(
x
−
4
)
/
6
(x - 4)/6
(
x
−
4
)
/6
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