1.

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

Answer»

Solution :`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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