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If f(x)=(x+2)/(2x+3), then int sqrt((f(x...

If `f(x)=(x+2)/(2x+3)`, then `int sqrt((f(x))/(x^(2)))dx` equals :
`(1)/(sqrt(2))g((1+sqrt(2f(x)))/(1-sqrt(2f(x))))-sqrt((2)/(3))h((sqrt(3f(x))+sqrt(2))/(sqrt(3f(x))-sqrt(2)))+c`, where :

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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