Definite Integration - By Formulae
Example 27 (i)
Ex 7.8, 3
Ex 7.8, 6
Ex 7.8, 2
Misc 28
Ex 7.8, 4 Important
Ex 7.8, 5
Ex 7.8, 7
Ex 7.8, 8 Important
Ex 7.8, 17 Important
Ex 7.8, 12
Ex 7.8, 18
Misc 35
Misc 36 Important
Ex 7.9, 2 Important
Ex 7.8, 20 Important
Ex 7.8, 9
Ex 7.8, 10
Ex 7.8, 21 (MCQ) Important
Ex 7.8, 22 (MCQ)
Ex 7.8, 14 Important
Ex 7.8, 19 Important
Ex 7.9, 10 (MCQ) Important
Ex 7.9, 8
Misc 33
Misc 37
Ex 7.9, 3 Important
Definite Integration - By Formulae
Last updated at April 16, 2024 by Teachoo
Ex 7.8, 1 ∫_(−1)^1▒(𝑥+1)𝑑𝑥 Let F(𝒙)=∫1▒(𝑥+1)𝑑𝑥 =𝑥^(1+1)/(1+1)+𝑥 =𝒙^𝟐/𝟐+𝒙 Hence F(𝑥)=𝑥^2/2+𝑥 ∫_(−𝟏)^𝟏▒(𝒙+𝟏)𝒅𝒙 =𝑭(𝟏)−𝑭(−𝟏) =((1)^2/2+1)−((−1)^2/2+(−1)) =(1/2+1)−(1/2−1) =1/2+1−1/2+1 = 1/2−1/2+1+1 = 2