Class 12 Integrals · Assertion Reason1 Marksintegration_properties
Class 12 Maths · Integrals · Assertion Reason #34
Assertion: For x>0, \(\int (\ln x)^2/x\,dx=(\ln x)^3/3+C\).
Reason: For x>0, \(\int dx/x=\ln x+C\).
✅ Step-by-Step Solution
Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
- Set u=ln x, du=dx/x, then integrate u² to u³/3. R is true but does not by itself give the substituted power integration.
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