Q74.The value of k ∈N for which the integral In = ∫10 (1 −xk) ndx, (1) 14 (2) 8 (3) 10 (4) 7
What This Question Tests
The problem requires simplifying the integrand using trigonometric identities and then applying the substitution method to evaluate the indefinite integral and find the constant of integration.
Concepts Tested
Formulas Used
∫ (1/sin^2x) dx = ∫ cosec^2x dx = -cot x + C
Substitution method of integration
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration using substitution
- Year
- 2024
- Shift
- 08 Apr Shift 1
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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