Question:
The area enclosed between the curve \(y = \log_e(x + e)\) and the coordinate axes is:
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: Jun 24, 2025
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The Correct Option is B
Solution and Explanation
The area under the curve is given by: \[ A = \int_0^\infty \log_e(x + e) \, dx \] Use integration by parts or known results to evaluate: \[ A = 2 \] Thus, the area enclosed is \(2\).
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