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Area Under the Curve
Area Between Two Curves
IIT-JEE 2002
Grade 12

Question:

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

Step-by-Step Solution

Key Concept: Find the points of intersection of the two parabolas first, then integrate the difference between the upper curve $y = 1 - x^2$ and the lower curve $y = x^2 - 1$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)

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