Q80.If ∫√sec 2x −1dx = α loge cos 2x + β + √cos 2x(1 ______.
What This Question Tests
This question requires simplifying a complex trigonometric integrand using identities and then applying appropriate integration techniques, likely substitution, to find the indefinite integral.
Concepts Tested
Formulas Used
sec²θ - 1 = tan²θ
∫cotx dx = log|sinx| + C
Integration by parts (implicitly for some forms)
📚 NCERT Sections This Tests
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2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
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📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration of Trigonometric Functions
- Year
- 2023
- Shift
- 30 Jan Shift 2
- Q Number
- Q80
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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