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int(dx)/(x^(2)-2x+2)=...

`int(dx)/(x^(2)-2x+2)=`

A

(a) `1/2tan^(-1)(x-1)+c`

B

(b) `tan^(-1)(x-1)+c`

C

(c) `1/2logabs((x+sqrt(2))/(x-sqrt(2)))+c`

D

(d) `1/2logabs((x-sqrt(2))/(x+sqrt(2)))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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