Question

\(\int_0^a e^x \, dx \)

• A. \( e \)
• B. \( 1 - e \)
• C. \( e^a - 1 \)
• D. \( 0 \)

Hint:

The integral of \( e^x \) is just \( e^x \), and always subtract the limits when solving definite integrals.

Answer 1

The Correct Option is C

We are given: \[ I = \int_0^a e^x \, dx \] The integral of \( e^x \) is simply \( e^x \), so: \[ I = \left[ e^x \right]_0^a = e^a - e^0 = e^a - 1 \] Thus, the correct answer is \( e^a - 1 \).