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Integrate the following functions sqrt(x...

Integrate the following functions `sqrt(x^2+4x+6)`

Text Solution

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`int sqrt(x^2+4x+6) dx`
=`int sqrt(x^2+4x+4+2) dx`
=`int sqrt((x+2)^2+(sqrt2)^2) dx`
`(x+2)/2 sqrt((x+2)^2+(sqrt2)^2)+ (sqrt2)^2/2 log|x+2+sqrt((x+2)^2 + (sqrt2)^2)+c`
`(x+2)/2 sqrt(x^2+4x+6) + log|x+2 +sqrt(x^2+4x+6)|+c`
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