Q83.A value of α such that ∫ (x+α)(x+α+1) α (1) −12 (2) 21 (3) −2 (4) 2
What This Question Tests
This problem involves solving a definite integral of a rational function using partial fraction decomposition and then equating the result to a given logarithmic expression to find the unknown parameter alpha.
Concepts Tested
Formulas Used
∫(1/(x(x+1))) dx = ∫(1/x - 1/(x+1)) dx = log|x| - log|x+1| + C = log|x/(x+1)| + C
log a - log b = log (a/b)
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite integrals of rational functions
- Year
- 2019
- Shift
- 12 Apr Shift 2
- Q Number
- Q83
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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