Evaluate:
(i) `int(x^5+x^(-2)+2)/(x^2)\ dx`
(ii) `int(5\ x^4+12\ x^3+7\ x^2)/(x^2+x)\ dx`

Explanation

(i) `int(x^5+x^(-2)+2)/(x^2)\ dx`


`=int(x^3+x^(-4)+2x^(-2))\ dx`


`=(x^4)/(4)+(-x^(-3))/(3)-2x^(-1)+C`




(ii) `int(5\ x^4+12\ x^3+7\ x^2)/(x^2+x)\ dx`


`=int(5\ x^3+12\ x^2+7\ x)/(x+1)\ dx`


`=int(x(5\ x^2+12\ x+7))/(x+1)\ dx`


`=int(x*(5x+7)(x+1))/(x+1)\ dx`


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