int(x^2dx)/((a+b x)^2)=...

`int(x^2dx)/((a+b x)^2)=`

A

`(1)/(b^2) [x+(2a )/(b) log (a +b x )-(a^2)/(b) (1)/(a+bx)]`

B

`(1)/(b^2) [ x-(2a )/( b) log (a+ bx )+(a^2 )/(b) (1)/(a+bx )]`

C

`(1)/(b^2) [ x +(2a)/(b) log (a+bx) +(a^2)/(b ) (1)/(a+bx )]`

D

`(1)/(b^2 )[ x+(a)/(b) - (2a)/(b) log (a+bx) -(a^2 )/(b) (1)/(a +bx )]`

Verified by Experts

The correct Answer is:

D

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