Question

The area bounded by the curve \( y = \sin x \), x-axis and the ordinates \( x = 0 \) and \( x = \pi/2 \) is:

• A. \( \pi \)
• B. \( \pi/2 \)
• C. \( \pi/4 \)
• D. None of these

Hint:

Use integration to calculate the area under curves, particularly for standard trigonometric functions like sine.

Answer 1

The Correct Option is C

Step 1: Integrate to find the area.
The area under the curve is given by: \[ \text{Area} = \int_0^{\pi/2} \sin x \, dx = -\cos x \Big|_0^{\pi/2} = 1 - 0 = \frac{\pi}{4}. \] Thus, the correct answer is (3).