Evaluate ∫_0^1 (e^x) dx.

Evaluate ∫_0^1 (e^x) dx.

Step 1: Identify the integral you need to evaluate, which is ∫_0^1 e^x dx.
Step 2: Find the antiderivative of e^x. The antiderivative of e^x is e^x itself.
Step 3: Write down the antiderivative with limits: [e^x] from 0 to 1.
Step 4: Substitute the upper limit (1) into the antiderivative: e^1 = e.
Step 5: Substitute the lower limit (0) into the antiderivative: e^0 = 1.
Step 6: Calculate the result by subtracting the lower limit from the upper limit: e - 1.
Step 7: Write the final answer: ∫_0^1 e^x dx = e - 1.

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