Q87.If ∫π0 (sin3 x)e−sin2 xdx =
What This Question Tests
This question requires advanced techniques in definite integration, specifically using trigonometric identities, substitution, and integration by parts for both sides of the equality, followed by comparing terms to find α and β.
Concepts Tested
Formulas Used
∫(sin^3 x)e^(-sin^2 x) dx
sin^3 x = sin x (1 - cos^2 x)
∫u dv = uv - ∫v du
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2021
- Shift
- 27 Jul Shift 2
- Q Number
- Q87
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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