Ex 7.11, 14 - Chapter 7 Class 12 Integrals
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 7.11, 14 By using the properties of definite integrals, evaluate the integrals : 02𝜋 cos5𝑥 𝑑𝑥 02𝜋 cos5𝑥 𝑑𝑥 = 0𝜋 cos5𝑥 𝑑𝑥+ 0𝜋(2π−𝑥) 𝑑𝑥 = 0𝜋 𝑐𝑜𝑠5𝑥 𝑑𝑥+ 0𝜋 𝑐𝑜𝑠5 𝑥 = 2 0𝜋 𝑐𝑜𝑠5𝑥 𝑑𝑥 = 2 0 𝜋2 𝑐𝑜𝑠5𝑥 𝑑𝑥+ 0 𝜋2 cos 𝜋−𝑥 𝑑𝑥 = 2 0 𝜋2 𝑐𝑜𝑠5𝑥 𝑑𝑥+ 0 𝜋2 − cos𝑥5𝑑𝑥 = 2 0 𝜋2 𝑐𝑜𝑠5𝑥𝑑𝑥−2 0 𝜋2 𝑐𝑜𝑠5𝑥 = 0
Definite Integration by properties - P6
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
- 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
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.