Evaluate ` int_0^1e^(2-3x)dx ` as a limit of a sum.

Explanation

To evaluate the integral \( \int_0^1 e^{2-3x} \, dx \) as a limit of a sum, we can follow these steps:

### Step 1: Define the Integral as a Limit of a Sum
We start by expressing the integral as a limit of a Riemann sum. The integral from \( a \) to \( b \) of a function \( f(x) \) can be expressed as:
\[ \int_a^b f(x) \, dx = \lim_{n \to \infty} \sum_{i=0}^{n-1} f(x_i^*) \Delta x \]
where \( \Delta x = \frac{b-a}{n} \) and \( x_i^* = a + i \Delta x \).
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