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Area Under the Curve

Area Between Two Curves

Premium Question

Grade 12

Question:

The area bounded by the curves $y = x^2$ and $y = x^3$ is:

(1) $\frac{1}{12}$

(2) $\frac{1}{6}$

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

(4) $\frac{1}{4}$

Step-by-Step Solution

Key Concept: Find the intersection points of $y = x^2$ and $y = x^3$, then integrate $(x^2 - x^3)$ between these limits.

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

Correct Answer: (1)