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Mathematics
Mathematics
Problem
Find the value of
∫
x
e
2
x
d
x
\displaystyle \int x e^{2x}\,dx
∫
x
e
2
x
d
x
. a)
e
2
x
(
2
x
+
1
4
)
+
C
e^{2x}\left(\dfrac{2x+1}{4}\right)+C
e
2
x
(
4
2
x
+
1
)
+
C
b)
e
2
x
(
x
−
1
2
)
+
C
e^{2x}\left(\dfrac{x-1}{2}\right)+C
e
2
x
(
2
x
−
1
)
+
C
c)
e
2
x
(
x
2
)
+
C
e^{2x}\left(\dfrac{x}{2}\right)+C
e
2
x
(
2
x
)
+
C
d)
e
2
x
(
2
x
−
1
4
)
+
C
e^{2x}\left(\dfrac{2x-1}{4}\right)+C
e
2
x
(
4
2
x
−
1
)
+
C
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