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Integrate the functionssqrt(x^2+4x-5)...

Integrate the functions`sqrt(x^2+4x-5)`

Text Solution

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` int sqrt(x^(2)+4x-5-2^(2)+2^(2))dx`
`= int sqrt((x+2)^(2)-5-4)dx`
`= int sqrt((x+2)^(2) -(3)^(2))dx`
`=(x+2)/(2) sqrt(x^(2)+4x+5-)(9)/(2)log`
`|(x+2)+sqrt(x^(2)+4x-5)|+C`
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