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Evaluate: intsqrt(x^(2)+2x+5)dx...

Evaluate: `intsqrt(x^(2)+2x+5)`dx

Text Solution

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We have,
`intsqrt(x^(2)+2x+5) = intsqrt(x^(2)+2x+1+4)dx=intsqrt((x+1)^(2)+2^(2))`
`=1/2(x+1)sqrt((x+1)^(2)+2^(2)+1/2.(2)^(2)ln|(x+1)+sqrt(x^(2)+2x+5)|)+C`
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