Example 19 - Chapter 7 Class 12 Integrals
Last updated at May 29, 2018 by Teachoo
Transcript
Example 19 Find 𝑥 𝑒𝑥𝑑𝑥 𝑥 𝑒𝑥𝑑𝑥 Using ILATE, we take First function :- 𝑓 𝑥=𝑥 Second function :- g 𝑥= 𝑒𝑥 𝑥 𝑒𝑥𝑑𝑥=𝑥 𝑒𝑥𝑑𝑥− 𝑑𝑥𝑑𝑥 𝑒𝑥𝑑𝑥𝑑𝑥 = 𝑥 𝑒𝑥− 1. 𝑒𝑥 𝑑𝑥 = 𝑥 𝑒𝑥− 𝑒𝑥+𝐶
Integration by parts
Example 19
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Ex 7.6, 3
Ex 7.6, 23
Example 21
Ex 7.6, 21
Example 17
Ex 7.6, 1
Ex 7.6, 2
Ex 7.6, 12
Example 18
Ex 7.6, 4
Ex 7.6, 5
Ex 7.6, 6
Ex 7.6, 15
Ex 7.6, 14 Important
Ex 7.6, 7
Ex 7.6, 9
Ex 7.6, 8
Ex 7.6, 11
Example 20 Important
Ex 7.6, 13 Important
Ex 7.6, 22
Ex 7.6, 10
Example 40 Important
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.