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Mathematics
Mathematics
Problem
Calculate
∫
0
∞
t
e
−
2
t
d
t
\displaystyle\int_{0}^{\infty} t e^{-2t}\,dt
∫
0
∞
t
e
−
2
t
d
t
. a)
1
8
\dfrac{1}{8}
8
1
b)
1
4
\dfrac{1}{4}
4
1
c) The integral diverges d)
1
2
\dfrac{1}{2}
2
1
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