Area Under the Curve
Area Under Curves
nta_pyq_2025_jan
Grade 12
Question:
The area (in sq. units) of the region {(x, y) : 0 \le y \le 2|x| + 1, 0 \le y \le x 2 + 1, |x| \le 3} is
Step-by-Step Solution
Key Concept: Apply the core result for area bounded by curves and simplify using the given constraints.
(2) 2 1 2 Area = 2 [\int (x + 1) dx + [5 + 7] \times 1] 2 0 64 = 3
Correct Answer: 2