Find the value of ∫ from 0 to 1 of (e^x) dx.

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Question: Find the value of ∫ from 0 to 1 of (e^x) dx.

Options:

Correct Answer: e - 1

Solution:

The integral evaluates to [e^x] from 0 to 1 = e - 1.

Find the value of ∫ from 0 to 1 of (e^x) dx.

Find the value of ∫ from 0 to 1 of (e^x) dx.

Step 1: Identify the integral you need to solve, which is ∫ from 0 to 1 of (e^x) dx.
Step 2: Recognize that the integral of e^x is e^x itself.
Step 3: Write down the result of the integral as [e^x] evaluated from 0 to 1.
Step 4: Substitute the upper limit (1) into e^x: e^1 = e.
Step 5: Substitute the lower limit (0) into e^x: e^0 = 1.
Step 6: Calculate the difference between the upper and lower limits: e - 1.
Step 7: Conclude that the value of the integral is e - 1.

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