Q85.If I1 = ∫10 e−x cos2 xdx; I2 = ∫10 e−x2 cos2 xdx and I3 = ∫10 e−x3dx; then (1) I2 > I3 > I1 (2) I3 > I1 > I2 (3) I2 > I1 > I3 (4) I3 > I2 > I1
What This Question Tests
The question tests the ability to compare definite integrals by analyzing the behavior and relative magnitudes of their integrands over the given interval [0, 1] without explicit integration.
Concepts Tested
Formulas Used
If f(x) >= g(x) on [a,b], then ∫_a^b f(x) dx >= ∫_a^b g(x) dx
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Comparison of definite integrals
- Year
- 2018
- Shift
- 15 Apr Shift 2 Online
- Q Number
- Q85
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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