Evaluate the following definite integrals as limit of sums.`int_-1^1 e^x dx`

Explanation

To evaluate the definite integral \(\int_{-1}^{1} e^x \, dx\) as a limit of sums, we will follow these steps:

### Step 1: Define the integral in terms of a limit of sums

We can express the definite integral \(\int_{a}^{b} f(x) \, dx\) as:
\[ \int_{a}^{b} f(x) \, dx = \lim_{n \to \infty} \sum_{i=0}^{n-1} f(a + i h) h \]
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