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Ex 7.9, 1 - Chapter 7 Class 12 Integrals (Term 2)
Last updated at June 6, 2022 by Teachoo
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Definite Integration - By Formulae
Ex 7.9, 1
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Example 27 (i)
Ex 7.9, 3
Ex 7.9, 6
Ex 7.9, 2
Misc 29
Ex 7.9, 4 Important
Ex 7.9, 5
Ex 7.9, 7
Ex 7.9, 8 Important
Ex 7.9, 17 Important
Ex 7.9, 12
Ex 7.9, 18
Misc 37
Misc 38 Important
Ex 7.10, 2 Important
Ex 7.9, 20 Important
Ex 7.9, 9
Ex 7.9, 10
Ex 7.9, 21 (MCQ) Important
Ex 7.9, 22 (MCQ)
Ex 7.9, 14 Important
Ex 7.9, 19 Important
Ex 7.10, 10 (MCQ) Important
Ex 7.10, 8
Misc 35
Misc 39
Ex 7.10, 3 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
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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 7.9, 1 β«_(β1)^4β(π₯+1)ππ₯ Let F(π)=β«1β(π₯+1)ππ₯ =β«1βγπ₯ ππ₯γ +β«1βγ1 ππ₯γ =π₯^(1+1)/(1+1)+π₯ =π^π/π+π Hence F(π₯)=π₯^2/2+π₯ β«_(βπ)^πβ(π+π)π π =π(π)βπ(βπ) =((1)^2/2+1)β((β1)^2/2+(β1)) =(1/2+1)β(1/2β1) =1/2+1β1/2+1 = 1/2β1/2+1+1 = 2
