Q65.The value of α for which 4α ∫2 e−α|x|dx = 5 , is −1 (1) loge 2 (2) loge( 23 ) (3) loge √2 (4) loge( 34 )
What This Question Tests
This question tests the ability to evaluate a definite integral involving an absolute value function by splitting the integral, then solving the resulting exponential equation for the unknown parameter.
Concepts Tested
Formulas Used
∫e^(ax) dx = e^(ax)/a
ln(x)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite integral with absolute value
- Year
- 2020
- Shift
- 07 Jan Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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