
Ex 7.9
Ex 7.9, 2
Ex 7.9, 3
Ex 7.9, 4 Important
Ex 7.9, 5
Ex 7.9, 6
Ex 7.9, 7
Ex 7.9, 8 Important
Ex 7.9, 9
Ex 7.9, 10
Ex 7.9, 11 Important
Ex 7.9, 12
Ex 7.9, 13
Ex 7.9, 14 Important
Ex 7.9, 15
Ex 7.9, 16 Important
Ex 7.9, 17 Important
Ex 7.9, 18
Ex 7.9, 19 Important
Ex 7.9, 20 Important
Ex 7.9, 21 (MCQ) Important
Ex 7.9, 22 (MCQ)
Last updated at Dec. 11, 2021 by Teachoo
Ex 7.9, 1 ∫_(−1)^4▒(𝑥+1)𝑑𝑥 Let F(𝒙)=∫1▒(𝑥+1)𝑑𝑥 =∫1▒〖𝑥 𝑑𝑥〗 +∫1▒〖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