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Find the following integral : int(dx)...

Find the following integral :
`int(dx)/(x^(2)-6x+13)`

Text Solution

Verified by Experts

The correct Answer is:
`(i)(1)/(2) tan^(-1) ((x-3)/(2))+c`
(ii) `(1)/(17)log|(3x-2)/(x+5)|+c`
(iii) `(1)/(sqrt(5))log |(x-(1)/(5))+ sqrt(x^(2)-(2x)/(5))|+c`
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