Evaluate the following integrals as limit of sum: `int_0^3(x+4)dx`

Explanation

To evaluate the integral \(\int_0^3 (x + 4) \, dx\) as a limit of sums, we will follow these steps:

### Step 1: Define the integral as a limit of Riemann sums
The integral can be expressed as:
\[ \int_a^b f(x) \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} f(x_i^*) \Delta x \]
where \( \Delta x = \frac{b - a}{n} \) and \( x_i^* \) is a sample point in each subinterval.
...