1.

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

Answer»

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


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