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Area Under the Curve

Area Under a Curve

Premium Question

Grade 12

Question:

The area bounded by the curve $y = 4 - x^2$ and the $x$-axis is:

(1) $\frac{32}{3}$

(2) $\frac{16}{3}$

(3) $\frac{8}{3}$

(4) $\frac{16}{3}$

Step-by-Step Solution

Key Concept: Find where $y = 4 - x^2$ meets the $x$-axis, then integrate $(4 - x^2)$ between these two roots.

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: (1)