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 to calculate the area under logarithmic curves.
Updated On: Jan 13, 2026
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The Correct Option is B

Solution and Explanation

The area under the curve is given by: \[ A = \int_0^\infty \log_e(x + e) \, dx \] Evaluating this integral using integration by parts or known results yields: \[ A = 2 \] Consequently, the enclosed area is \(2\).
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