# Ex 7.4, 2 - Chapter 7 Class 12 Integrals

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Ex 7.4, 2(Method 1) 1/โ(1 + 4๐ฅ^2 ) โซ1โ1/โ(1 + 4๐ฅ^2 ) ๐๐ฅ =โซ1โ1/โ(4 (1/4 + ๐ฅ^2 ) ) . ๐๐ฅ =โซ1โ1/(โ4 โ(1/4 + ๐ฅ^2 )) . ๐๐ฅ =1/2 โซ1โ1/โ(๐ฅ^2 + 1/4) . ๐๐ฅ =1/2 logโก|๐ฅ+โ(4๐ฅ^2 + 1)/2|+๐ถ =1/2 logโก|(2๐ฅ + โ(4๐ฅ^2 + 1))/2|+๐ถ =1/2 [logโก|2๐ฅ + โ(1+4๐ฅ^2 ) |โlogโก2 ]+๐ถ =1/2 logโก|2๐ฅ + โ(1+4๐ฅ^2 ) |โ1/2 logโก2+๐ถ =๐/๐ ๐๐๐โก|๐๐ + โ(๐+๐๐^๐ ) |+๐ช

Integration by specific formulaes - Formula 6

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.