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Evaluate int(2x^(2)+5x+9)/((x+1)sqrt(x^...

Evaluate `int(2x^(2)+5x+9)/((x+1)sqrt(x^(2)+x+1))dx`.

Text Solution

Verified by Experts

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