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For a gt 1, b gt 1, the value of int(0)^...

For `a gt 1, b gt 1`, the value of `int_(0)^(oo) (a^(-x)-b^(-x))dx=`

A

`ln(ab)`

B

`(1)/(ln(ab))`

C

`(1)/(ln a) + (1)/(ln b)`

D

`(1)/(ln a) - (1)/(ln b)`

Text Solution

Verified by Experts

The correct Answer is:
D
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