Question

Evaluate `int(x^3+5x^2 + 4x + 1)/x^2  dx`

Answer 1

`I = int(x^3 + 5x^2 + 4x + 1)/x^2 dx`

`= int[x^3/x^2 + (5x^2)/x^2 +(4x)/x^2 +  1/x^2] dx`

`= int [x + 5 + 4/x + 1/x^2]dx`

`=x^2/2 +  5x + 4 log |x| - 1/x + c`