Class 12 Integrals · Conceptual Answer1 Marksdefinite_integration
Class 12 Maths · Integrals · Conceptual Answer #137
Evaluate \(\int_e^{e^2}dx/(x\ln x)\).
✅ Step-by-Step Solution
Final Answer: ln2
- Set u=ln x, du=dx/x, and the bounds become 1,2. Thus I=∫₁²du/u=ln2.
- Therefore the integral equals ln2.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Set u=ln x, du=dx/x, and the bounds become 1,2. Thus I=∫₁²du/u=ln2.
- [0.5 marks] Therefore the integral equals ln2.
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