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Mathematics
Mathematics
Problem
Determine the exact value of
∫
0
1
x
3
e
x
2
d
x
\displaystyle \int_{0}^{1} x^{3}e^{x^{2}}\,dx
∫
0
1
x
3
e
x
2
d
x
. a)
e
−
1
2
\dfrac{e-1}{2}
2
e
−
1
b)
1
1
1
c)
1
2
\dfrac12
2
1
d)
e
2
\dfrac{e}{2}
2
e
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