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Find the integralint(x^3+5x^2-4)/(x^2)dx...

Find the integral`int(x^3+5x^2-4)/(x^2)dx`

Text Solution

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`int (x^(3) +5x^(2)-4)/(x^(2))dx`
`=int ((x^(3))/(x^(2))+(5x^(2))/(x^(2)) -(4)/(x^(2)))dx`
`=int xdx +5 int 1dx -4 intx^(-2) dx`
`=(x^(2))/(2)+5x -(4x^(-1))/(-1) +c`
`=(x^(2))/(2)+5x +(4)/(x)+c`
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