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Let f be a differentiable function satis...

Let f be a differentiable function satisfying `f(xy) =f(x).f(y).AA x gt 0, y gt 0 and f(1+x) =1+x{1 + g(x)}`, where `lim_(xto0) g(x) = 0` then `int(f(x))/(f.(x))dx` is equal to

A

`(X^(2))/(2)+c`

B

`(x^(3))/(3)+c`

C

`(x^(2))/(3)+c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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