Class 12 Applications Of Integrals · Mcq Single Correct1 Markssigned_versus_geometric_area
Class 12 Maths · Applications Of Integrals · Mcq Single Correct #32
Find the geometric area between y=x|x| and the x-axis for −1≤x≤1.
✅ Step-by-Step Solution
Final Answer: Option (C): 2/3 square unit
- The signed graph is negative for x<0 and positive for x>0. Geometric area integrates |x|²=x², giving ∫₋₁¹x²dx=2/3.
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