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Ex 7.3, 11 - Chapter 7 Class 12 Integrals
Last updated at August 18, 2026 by Teachoo
Integration using trigo identities - 2x formulae
Chapter 7 Class 12 Integrals
Concept wise
- Using Formulaes
- Using Trignometric Formulaes
- Integration by substitution - x^n
- Integration by substitution - lnx
- Integration by substitution - e^x
- Integration by substitution - Trignometric - Normal
- Integration by substitution - Trignometric - Inverse
- Integration using trigo identities - sin^2,cos^2 etc formulae
- Integration using trigo identities - a-b formulae
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Integration using trigo identities - 2x formulae
- Integration using trigo identities - 3x formulae
- Integration using trigo identities - CD and CD inv formulae
- Integration using trigo identities - Inv Trigo formulae
- Integration by parts
- Integration by parts - e^x integration
- Integration by specific formulaes - Formula 1
- Integration by specific formulaes - Formula 2
- Integration by specific formulaes - Formula 3
- Integration by specific formulaes - Formula 4
- Integration by specific formulaes - Formula 5
- Integration by specific formulaes - Formula 6
- Integration by specific formulaes - Formula 7
- Integration by specific formulaes - Formula 8
- Integration by specific formulaes - Method 9
- Integration by specific formulaes - Method 10
- Integration by partial fraction - Type 1
- Integration by partial fraction - Type 2
- Integration by partial fraction - Type 3
- Integration by partial fraction - Type 4
- Integration by partial fraction - Type 5
- Definite Integral as a limit of a sum
- Definite Integration - By Formulae
- Definite Integration - By Partial Fraction
- Definite Integration - By e formula
- Definite Integration - By Substitution
- Definite Integration by properties - P2
- Definite Integration by properties - P3
- Definite Integration by properties - P4
- Definite Integration by properties - P6
- Definite Integration by properties - P7
Transcript
Ex 7.3, 11 cos 4 2 cos 4 2 = cos 2 2 2 = 1 + cos 4 2 2 = 1 4 1+ cos 4 2 = 1 4 1 2 + cos 4 2 +2 cos 4 1 = 1 4 1+ cos 2 4 +2 cos 4 = 1 4 1+ cos 8 + 1 2 +2 cos 4 = 1 4 1 + 1 2 cos 8 +1 +2 cos 4 = 1 4 1 + 1 2 cos 8 + 1 2 1 +2 cos 4 = 1 4 + 1 2 sin 8 8 + 1 2 +2 sin 4 4 + = 1 4 + 1 2 + 1 16 sin 8 + 1 2 sin 4 + = 1 4 3 2 + 1 16 sin 8 + 1 2 sin 4 + = + + +
