Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Ex 7.4, 12 - Chapter 7 Class 12 Integrals
Last updated at May 29, 2023 by Teachoo
Integration by specific formulaes - Formula 5
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
Transcript
Ex 7.4, 12 1 7 − 6𝑥 − 𝑥2 Integrating the function 𝑤.𝑟.𝑡.𝑥 = 1 7 − 6𝑥 − 𝑥2 𝑑𝑥 = 1 7 − 6𝑥 + 𝑥2 𝑑𝑥 = 1 7 − 𝑥2 + 6𝑥 𝑑𝑥 = 1 7 − 𝑥2 + 2 𝑥 3 𝑑𝑥 = 1 7 − 𝑥2 + 2 𝑥 3 + 32− 32 𝑑𝑥 = 1 7 − 𝑥 + 32 − 32 𝑑𝑥 = 1 7 + 9 − 𝑥 + 32 𝑑𝑥 = 1 16 − 𝑥 + 32 𝑑𝑥 = 1 42 − 𝑥 + 32 𝑑𝑥 = 𝒔𝒊𝒏−𝟏 𝒙 + 𝟑𝟒 +𝑪
