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find the integral of e x from 0 to 2
Question:
Find the integral of
\( e^x \) from 0 to 2.
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For exponential integrals, remember that the integral of \( e^x \) is simply \( e^x \) itself.
Bihar Board XII - 2025
Bihar Board XII
Updated On:
Sep 13, 2025
\( e^2 \)
\( e^2 - 2 \)
\( e^2 - 1 \)
\( e - 1 \)
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The Correct Option is
C
Solution and Explanation
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 \( e^2 - 1 \).
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