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Area Under the Curve
Area Under a Curve
Premium Question
Grade 12

Question:

The area bounded by the curve $y = x^2 - 4x$ and the $x$-axis is:
(1) $\frac{32}{3}$
(2) $\frac{16}{3}$
(3) $\frac{64}{3}$
(4) $8$

Step-by-Step Solution

Key Concept: Find where $y = x^2 - 4x$ meets the $x$-axis, then integrate $|x^2 - 4x| = 4x - x^2$ between these two roots.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)

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