Question:medium

The evaluation of the double integral \( \int_{-a}^{a} \int_{0}^{x} \frac{e^y}{(1+e^y)^2} \, dy \, dx \) is:

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Always check if the final single-variable integrand is odd when the outer limits are symmetric (\([-a, a]\)).
This avoids unnecessary computation of complex anti-derivatives.

Updated On: Jun 23, 2026

\(a\)
\(e^a\)
\(e^{a^2}\)
\(0\)

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The Correct Option is D

Solution and Explanation

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The evaluation of the double integral \( \int_{-a}^{a} \int_{0}^{x} \frac{e^y}{(1+e^y)^2} \, dy \, dx \) is:

Show Hint

The Correct Option is D

Solution and Explanation

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