Evaluate the following integrals.
`int (x^(3) + 3x^2 + 4)/(sqrt(x)) dx`

Explanation

`int(x^(3) +3x+4)/(sqrt(x))dx`
` =int ((x^(3))/(sqrt(x))+(3x)/(sqrt(x))+(4)/(sqrt(x)))dx`
`=int x^(5//2) dx+3int x^(1//2) dx+4int x^(-1//2) dx`
`=(x^(7//2))/(7//2) +3. (x^(3//2))/(3//2)+4. (x^(1//2))/(1//2)+c`
`=(2)/(7) x^(7//2) +2x^(3//2) +8x^(1//2) +c`