IKMC 2027 - Grades 11-12 - Self-study SET 2 - Thematic Batch 3 Question 4

In the diagram, the grey regions are bounded by a unit square and the parabolas y=x (2−x) and y=(x−1)². The region between y=x (2−x) and the horizontal axis has area 4/3. What is P₁−P₂?