# Ex 7.9, 11 - Chapter 7 Class 12 Integrals

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex7.9, 11 2 3 2 1 Step 1 :- Let F = 2 1 We can write integrate as 1 2 1 = 1 1 + 1 1 1 + 1 = A 1 + B + 1 1 1 + 1 = A + 1 + B 1 1 + 1 By Canceling denominator 1=A +1 +B 1 Putting = 1 1=A 1+1 +B 1 1 1 =A 0+=B 2 1= 2B B= 1 2 Similarly putting =1 1=A 1+1 +B 1 1 1 =A 2 +B 0 1=2A A= 1 2 Therefore, 1 1 +1 = 1 2 1 + 1 2 1 + 1 = 1 2 1 1 +1 = 1 2 1 +1 = 1 2 1 + 1 Hence F = 1 2 1 + 1 Step 2 :- 2 3 1 1 2 = 3 2 = 1 2 3 1 3+1 1 2 2 1 2+1 = 1 2 2 4 1 2 1 3 = 1 2 1 2 1 3 =

Definite Integration - By Partial Fraction

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.