Q84.The integral ∫x cos−1 ( 1+x21−x2 )dx(x (1) −x + (1 + x2) tan−1 x + c (2) x −(1 + x2) cot−1 x + c (3) −x + (1 + x2) cot−1 x + c (4) x −(1 + x2) tan−1 x + c
What This Question Tests
This question requires recognizing and applying an inverse trigonometric identity to simplify the integrand before performing integration by parts and algebraic manipulation.
Concepts Tested
Formulas Used
cos⁻¹((1-x²)/(1+x²)) = 2 tan⁻¹x
∫u dv = uv - ∫v du
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📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration by parts
- Year
- 2014
- Shift
- 11 Apr Online
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Indefinite Integration
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