Area Under the Curve
Area Under a Curve
Premium Question
Grade 12
Question:
The area bounded by the curve $y = \sin x$ and the $x$-axis, between $x = 0$ and $x = 2\pi$ (taking absolute value), equals _____.
Step-by-Step Solution
Key Concept: Use the fact that $\sin x$ is positive on $[0, \pi]$ and negative on $[\pi, 2\pi]$ — compute the area of one hump using a definite integral, and double it.
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Correct Answer: 4