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Mathematics
Mathematics
Problem
Evaluate
∫
0
1
x
e
2
x
d
x
\displaystyle \int_{0}^{1} x e^{2x}\,dx
∫
0
1
x
e
2
x
d
x
. a)
e
2
2
\dfrac{e^{2}}{2}
2
e
2
b)
e
2
+
1
4
\dfrac{e^{2}+1}{4}
4
e
2
+
1
c)
e
2
4
\dfrac{e^{2}}{4}
4
e
2
d)
e
2
−
1
4
\dfrac{e^{2}-1}{4}
4
e
2
−
1
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