Area Under the Curve
Area Under Curves
nta_abhyas_2025
Grade 12

Question:

(A) Drawing graphs of $y = x^2$ and $y = \frac{4}{x^2-1}$

Step-by-Step Solution

Key Concept: Find intersection points by solving $x^2 = \frac{4}{x^2-1}$, then integrate the difference between the upper and lower curves.
The graphs of $y = x^2$ and $y = \frac{4}{x^2-1}$ intersect at specific points. The area between the curves is determined by identifying the region of intersection and integrating the difference of the functions over the appropriate bounds.
Correct Answer: 1

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