If f(x) = (x+2)/(2x+3). Then int(f(x)/(x...

If f(x) = `(x+2)/(2x+3)`. Then `int(f(x)/(x^(2)))^(1//2)dx` is equal to `(1)/(sqrt(2))g((1+sqrt2f(x))/(1-sqrt(2f(x))))-sqrt((2)/(3))h((sqrt(3f(x))+sqrt(2))/(sqrt(3f(x)-sqrt(2)))) +C` where

A

`g(x) = tan^(-1)x, h(x) = log |X|`

B

`g(x) - log|x|, h(x) = tan ^(-1)x`

C

`g(x) = h(x) = tan^(-1)x`

D

`g(x) = log|x|,h(x) = log |x|`

Text Solution

Verified by Experts

The correct Answer is:

D

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