Q15.If f(x) = ∫ 1 dx, f(0) = −6, then f(1) is equal to : x1/4(1+x1/4) (1) 4 (loge 2 −2) (2) 2 −loge2 2 (3) loge 2 + 2 (4) 4 (loge 2 + 2)
What This Question Tests
This question requires using a suitable substitution to simplify the integrand and then performing indefinite integration, followed by applying the initial condition to find the constant of integration and evaluate the function at a specific point.
Concepts Tested
Formulas Used
∫ (1/x) dx = ln|x| + C
∫ f(g(x))g'(x) dx = ∫ f(u) du
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📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Substitution method in integration
- Year
- 2025
- Shift
- 28 Jan Shift 2
- Q Number
- Q15
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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