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int (x^(3) +3x +4)/(sqrt(x)) dx...

`int (x^(3) +3x +4)/(sqrt(x)) dx`

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To solve the integral \(\int \frac{x^3 + 3x + 4}{\sqrt{x}} \, dx\), we can simplify the expression before integrating. ### Step-by-step Solution: 1. **Rewrite the integrand**: We can separate the terms in the integrand: \[ \frac{x^3 + 3x + 4}{\sqrt{x}} = \frac{x^3}{\sqrt{x}} + \frac{3x}{\sqrt{x}} + \frac{4}{\sqrt{x}} ...
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