Question

The area bounded by the curve $y = \sin x$ between $x = 0$ and $x = \pi$ is:

• A. 1
• B. 2
• C. 0
• D. 4

Hint:

The area of one "hump" of a sine or cosine curve is always 2 square units.

Answer 1

The Correct Option is B

Step 1: Concept
Area $= \int_{a}^{b} y dx$.
Step 2: Analysis
Area $= \int_{0}^{\pi} \sin x dx = [-\cos x]_{0}^{\pi}$.
Step 3: Conclusion
$= -(\cos \pi - \cos 0) = -(-1 - 1) = 2$.
Final Answer: (B)