Q84.The integral ∫π sec 3𝑥· cosec 3𝑥𝑑𝑥 is equal to 6 7 5 (1) 3 6 - 3 6 (2) 3 43 - 3 13 5 2 (3) 3 6 - 3 3 (4) 3 53 - 3 13
What This Question Tests
This question tests the ability to simplify a trigonometric integrand using identities and then solve the definite integral using a suitable substitution.
Concepts Tested
Formulas Used
Trigonometric identities (sec x = 1/cos x, cosec x = 1/sin x)
Substitution method for integrals
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite integrals of trigonometric functions
- Year
- 2019
- Shift
- 10 Apr Shift 2
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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