Area Under the Curve
Area Between Two Curves
IIT-JEE 2014
Grade 12
Question:
The area of the region $\{(x, y) : x^2 \leq y \leq x + 2\}$ is:
(1) $\frac{9}{2}$
(2) $\frac{9}{4}$
(3) $\frac{27}{6}$
(4) $\frac{7}{2}$
Step-by-Step Solution
Key Concept: Find the intersection points of $y = x^2$ and $y = x + 2$ first, then integrate $(x + 2) - x^2$ between these limits.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)