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Evaluate : int (1)/(sqrt((x-1)^(2)+3^(2)...

Evaluate : `int (1)/(sqrt((x-1)^(2)+3^(2)))dx `

Text Solution

Verified by Experts

`int(1)/(sqrt(x^(2)-2x+10))dx=int(1)/(sqrt((x^(2)-2x+1)+9))`
`=int(1)/(sqrt((x-1)^(2)+3^(2)))`
`=log |x-1+sqrt((x-1)^ (2) +3^(2))|+C`
`=log |x+1+sqrt(x^(2)-2x+10) |+C.`
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