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If int(0)^(oo)e^(-ax)dx=(1)/(a), then va...

If `int_(0)^(oo)e^(-ax)dx=(1)/(a)`, then value of `int_(0)^(oo)x^(m)e^(-ax)dx` equals

A

`((-1)^(m)m!)/(a^(m+1))`

B

`((-1)^(m)(m-1))/(a^(m))`

C

`(m!)/(a^(m))`

D

`(m!)/(a^(m+1))`

Text Solution

Verified by Experts

The correct Answer is:
D
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