Q82.The value of the integral ∫21/2 tan−1x x (1) π loge 2 (2) 21 loge 2 (3) π 4 loge 2 (4) π2 loge 2
What This Question Tests
This question tests the ability to evaluate a definite integral by applying properties of definite integrals and substitution, along with the identity for inverse trigonometric functions.
Concepts Tested
Formulas Used
∫ab f(x)dx = ∫ab f(a+b-x)dx
tan⁻¹(x) + tan⁻¹(1/x) = π/2 for x > 0
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2023
- Shift
- 29 Jan Shift 2
- Q Number
- Q82
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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