CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Q232 Markssubstitution
CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Question 23 (Integrals)
Evaluate \(\int\sec^3(3x+2)\tan(3x+2)\,dx\).
✅ Step-by-Step Solution
Final Answer: sec³(3x+2)/9+C.
- Set u=sec(3x+2).
- Then du=3 sec(3x+2)tan(3x+2)dx, reducing the integral to (1/3)∫u²du.
- Integrate and substitute back.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Set u=sec(3x+2).
- [1 mark] Then du=3 sec(3x+2)tan(3x+2)dx, reducing the integral to (1/3)∫u²du.
- [0.5 marks] Integrate and substitute back.
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