Question

Find the integral of \( e^x \) from 0 to 2.

• A. \( e^2 \)
• B. \( e^2 - 2 \)
• C. \( e^2 - 1 \)
• D. \( e - 1 \)

Hint:

For exponential integrals, remember that the integral of \( e^x \) is simply \( e^x \) itself.

Answer 1

The Correct Option is C

We are asked to compute the definite integral of \( e^x \) from 0 to 2. Using the integral formula for \( e^x \), we get: \[ \int_0^2 e^x \, dx = e^2 - e^0 = e^2 - 1. \] Thus, the answer is \( e^2 - 1 \).