Area Under the Curve
Area Between Two Parabolas
nta_pyq_2024_apr
Grade 12
Question:
The area of the region enclosed by the parabolas $y=x^2-5x$ and $y=7x-x^2$ is:
Step-by-Step Solution
Key Concept: Intersections at $x=0,6$. $\int_0^6(12x-2x^2)dx=72$.
Area $=72$.
Correct Answer: 72