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Mathematics
Problem
Evaluate the definite integral
∫
0
2
6
x
e
3
x
2
d
x
\displaystyle\int_{0}^{2} 6x e^{3x^{2}}\,dx
∫
0
2
6
x
e
3
x
2
d
x
. a)
e
12
−
1
6
\dfrac{e^{12}-1}{6}
6
e
12
−
1
b)
e
4
−
1
e^{4}-1
e
4
−
1
c)
e
12
−
1
e^{12}-1
e
12
−
1
d)
e
12
−
e
3
e^{12}-e^{3}
e
12
−
e
3
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