# Ex 7.4, 23 - Chapter 7 Class 12 Integrals

Last updated at July 11, 2018 by Teachoo

Last updated at July 11, 2018 by Teachoo

Transcript

Ex 7.4, 23 5 + 3 2 + 4 + 10 5 + 3 2 + 4 + 10 =5 + 3 5 2 + 4 + 10 = 5 2 2 + 6 5 2 + 4 + 10 = 5 2 2 + 4 4 + 6 5 2 + 4 + 10 = 5 2 2 + 4 2 + 4 + 10 + 5 2 14 5 2 + 4 + 10 = 5 2 2 + 4 2 + 4 + 10 +7 2 + 4 + 10 Solving I1= 5 2 2 + 4 2 + 4 + 10 . Let 2 + 4 + 10= Diff both sides w.r.t.x 2 +4+0= = 2 + 4 Thus, our equation becomes I1= 5 2 2 + 4 2 + 4 + 10 . Putting the value of 2 +4 +10 = and = 2 + 4 I1= 5 2 2 + 4 . I1= 5 2 2 + 4 . 2 + 4 I1= 5 2 1 . I1= 5 2 1 1 2 . I1= 5 2 1 2 . I1= 5 2 1 2 + 1 1 2 + 1 + 1 I1= 5 2 1 2 1 2 + 1 I1=5 1 2 + 1 I1=5 + 1 I1=5 2 +4 +10 + 1 Solving I2= 7 2 + 4 + 10 . I2=7 1 2 + 2 2 + 10 . I2=7 1 2 + 2 2 + 2 2 2 2 + 10 . I2=7 1 + 2 2 2 2 + 10 . I2=7 1 + 2 2 4 + 10 . I2=7 1 + 2 2 + 6 . I2=7 1 + 2 2 + 6 2 . I2=7 +2+ +2 2 + 6 2 + 2 I2=7 +2+ 2 +4 +4+6 + 2 I2=7 +2+ 2 +4 +10 + 2 Putting the values of I1 and I2 in (1) 5 + 3 2 + 4 + 10 . = 5 2 2 + 4 2 + 4 + 10 . 7 2 + 4 + 10 . =5 2 +4 +10 + 1 7 +2+ 2 +4 +10 + 2 = + + + + + + +

Integration by specific formulaes - Method 10

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

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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.