Q73.For x > 0 , if f(x) = ∫x1 (1+t)loge t (1) 0 (2) 21 (3) −1 (4) 1 x ∈R. Then f(x) equals :
What This Question Tests
This question tests the understanding of definite integrals and their properties, specifically how changing the limits of integration affects the value of the integral and recognizing odd/even functions (though not directly applied here).
Concepts Tested
Formulas Used
∫[a,b] f(t)dt
∫[a,b] f(t)dt = -∫[b,a] f(t)dt
Leibniz rule (implicit for derivative)
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2021
- Shift
- 26 Feb Shift 2
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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