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int(dx)/(sqrt(x^(2)-6x+10))...

`int(dx)/(sqrt(x^(2)-6x+10))`

A

`log |x+sqrt(x^(2)-6x+10)|+C`

B

`log |(x-3)+sqrt(x^(2)-6x+10)|+C`

C

`log |x-sqrt(x^(2)-6x+10)|+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`I=int (dx)/(sqrt((x-3)^(2)+1^(2)))=log |(x-3)+sqrt(x^(2)-6x+10)|+C.`
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