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

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

A

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

B

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

C

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

D

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

Text Solution

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