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Mathematics
Problem
Evaluate the improper integral
∫
0
∞
2
x
e
−
x
2
d
x
\displaystyle\int_{0}^{\infty} 2x e^{-x^{2}}\,dx
∫
0
∞
2
x
e
−
x
2
d
x
. a)
π
2
\dfrac{\sqrt{\pi}}{2}
2
π
b)
1
2
\dfrac{1}{2}
2
1
c)
1
1
1
d) The integral diverges
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