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Evaluate the following integral int(...

Evaluate the following integral
`int((2x^2+5x+9)dx)/((x+1)sqrt(x^2+x+1))`

Text Solution

Verified by Experts

The correct Answer is:
`2sqrt(x^(2)+x+1)+2log|(x+1/2)+sqrt(x^(2)+x+1)|-6log|(1-x+sqrt(x^(2)+x-1))/(2(x+1))|+C`
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