Question:

$\int_1^e \ln x \, dx$ equals:

(1) $1$

(2) $e - 1$

(3) $e$

(4) $0$

Step-by-Step Solution

Key Concept: Apply integration by parts with $u = \ln x$ and $dv = dx$, then evaluate the resulting antiderivative at the given limits $x = 1$ and $x = e$.

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: (1)

Question:

Step-by-Step Solution

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