Area Under the Curve
Area Between Piecewise Curves
nta_pyq_2024_apr
Grade 12
Question:
The area enclosed between the curves $y=x|x|$ and $y=x-|x|$ is:
$\dfrac{4}{3}$
1
$\dfrac{2}{3}$
$\dfrac{8}{3}$
Step-by-Step Solution
Key Concept: For $x\in[-2,0]$: area between $y=-x^2$ and $y=2x$ gives $4/3$.
Area $=4/3$.
Correct Answer: 1