Class 12 Integrals · Short Answer2 Marksdefinite_integration
Class 12 Maths · Integrals · Short Answer #56
Evaluate \(\int_0^1 dx/\sqrt{2x+3}\).
✅ Step-by-Step Solution
Final Answer: √5−√3
- Let u=2x+3, du=2dx. The primitive is √(2x+3).
- Its endpoint difference is √(2·1+3)−√(2·0+3)=√5−√3.
- Therefore the integral equals √5−√3.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Let u=2x+3, du=2dx. The primitive is √(2x+3).
- [1 mark] Its endpoint difference is √(2·1+3)−√(2·0+3)=√5−√3.
- [0.5 marks] Therefore the integral equals √5−√3.
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