Question

Area bounded by the curve \( y = \log x \) and the coordinate axes is:

• A. 2
• B. 1
• C. 5
• D. \( 2\sqrt{2} \)

Hint:

The area under \( y = \log x \) from \( x = 1 \) to \( x = e \) is straightforward to compute using integration.

Answer 1

The Correct Option is B

The area under the curve \( y = \log x \) can be calculated by the integral: \[ \text{Area} = \int_1^e \log x \, dx = x \log x - x \Big|_1^e = 1 \] Thus, the area is 1.