Question:medium

The area enclosed between the curve \(y = \log_e(x + e)\) and the coordinate axes is:

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Use integration by parts or reference integral tables for logarithmic functions to calculate the area under such curves.
Updated On: Jan 29, 2026
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The Correct Option is B

Solution and Explanation

The definite integral \(\int_0^\infty \log_e(x + e) \, dx\) represents the area under the curve \(y = \log_e(x + e)\) from 0 to infinity. Evaluating this integral, either through integration by parts or by referencing established integration results, yields an area of \(A = 2\). Therefore, the computed area is \(2\).
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