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int(x dx)/((x-1)(x-2)equal...

`int(x dx)/((x-1)(x-2)`equal

A

`log|((x-1)^2)/(x-2)|+C`

B

`log|((x-2)^2)/(x-1)|+C`

C

`log|((x-1)^2)/(x+2)|+C`

D

`log|(x-1)(x-2)|+C`

Text Solution

Verified by Experts

The correct Answer is:
B
Option `B` is the correct answer
Given `int(x dx)/((x-1)(x-2)`
By partial fraction we have
`(x )/((x-1)(x-2))=A/(x-1)+B/(x-2)`
...
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