Evaluate: `int(x^(3)+5x^(2)-4+7/x+2/sqrt(x))` dx

Explanation

To evaluate the integral \( \int \left( x^3 + 5x^2 - 4 + \frac{7}{x} + \frac{2}{\sqrt{x}} \right) \, dx \), we will break it down into simpler parts and apply the basic rules of integration.

### Step-by-Step Solution:

1. **Break down the integral**:
\[ I = \int \left( x^3 + 5x^2 - 4 + \frac{7}{x} + \frac{2}{\sqrt{x}} \right) \, dx \]
...