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CBSE Class 12 Mathematics 2026 Main Paper 65/1/2 · Q31 Marksapplications_of_integrals

CBSE Class 12 Mathematics 2026 Main Paper 65/1/2 · Question 3 (Applications Of Integrals)

The area bounded by the curve y = x|x|, x-axis and the ordinates x = −1 and x = 1 is given by

✅ Step-by-Step Solution

Final Answer: (C) 2/3
  1. For x∈[−1,0], y = −x² (negative), area = ∫₋₁⁰ (−y) dx = ∫₋₁⁰ x² dx.
  2. For x∈[0,1], y = x², area = ∫₀¹ x² dx.
  3. Total = 2∫₀¹ x² dx = 2/3.

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