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Class 12 Integrals · Conceptual Answer1 Marksdefinite_integration

Class 12 Maths · Integrals · Conceptual Answer #38

Evaluate \(\int_1^3|2x-1|dx\).

✅ Step-by-Step Solution

Final Answer: 6
  1. On [1,3], 2x−1>0, so the integral is [x²−x]₁³=(9−3)−(1−1)=6.
  2. Therefore the integral equals 6.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] On [1,3], 2x−1>0, so the integral is [x²−x]₁³=(9−3)−(1−1)=6.
  • [0.5 marks] Therefore the integral equals 6.

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