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Integrate the following : int((x+sqrtx)(2x+1))/x^2dx

Answer»

Solution :`INT((X+SQRTX)(2x+1))/(x^2)dx`
=`int(2x^2+x+2x^(2/3)+x^(1/2))/(x^2)dx`
=`int{2+1/x+2x^(-1/2)+x^(-3/2)}dx`
`2x+In `absx`+`2x^(1/2)/(1/2)+x^(-1/2)/(-1/2)+C`
`2x+In absx+4sqrtx-2/(sqrtx)+C`


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