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CBSE Class 12 Mathematics 2026 Main Paper 65(B) · Q345 Marksarea_under_lines

CBSE Class 12 Mathematics 2026 Main Paper 65(B) · Question 34 (Applications Of Integrals)

Find the area bounded by y=3x+2, the x-axis and x=−1, x=1.
Two shaded areas between y=3x+2 and the x-axis from x=−1 to x=1.
Two shaded areas between y=3x+2 and the x-axis from x=−1 to x=1.

✅ Step-by-Step Solution

Final Answer: 13/3 square units.
  1. The line crosses the axis at x=−2/3.
  2. Integrate its negative on [−1,−2/3] and its positive on [−2/3,1].
  3. The pieces are 1/6 and 25/6, giving 13/3.

📋 CBSE Stepwise Marking Scheme

  • [1 mark] The line crosses the axis at x=−2/3.
  • [3 marks] Integrate its negative on [−1,−2/3] and its positive on [−2/3,1].
  • [1 mark] The pieces are 1/6 and 25/6, giving 13/3.

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