Class 12 Integrals · Conceptual Answer1 Marksdefinite_integration
Class 12 Maths · Integrals · Conceptual Answer #42
Evaluate \(\int_1^4|x-5|dx\).
✅ Step-by-Step Solution
Final Answer: 15/2
- Since x<5 on the interval, |x−5|=5−x. Evaluate [5x−x²/2]₁⁴=12−9/2=15/2.
- Therefore the integral equals 15/2.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Since x<5 on the interval, |x−5|=5−x. Evaluate [5x−x²/2]₁⁴=12−9/2=15/2.
- [0.5 marks] Therefore the integral equals 15/2.
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