Ex 7.8, 1 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

Ex 7.8, 1 Class 12 - Find Direct Integral ∫(x + 1) from -1 to 1 - Ex 7.8

part 2 - Ex 7.8, 1 - Ex 7.8 - Serial order wise - Chapter 7 Class 12 Integrals

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Transcript

Ex 7.8, 1 ∫_(βˆ’1)^1β–’(π‘₯+1)𝑑π‘₯ Let F(𝒙)=∫1β–’(π‘₯+1)𝑑π‘₯ =π‘₯^(1+1)/(1+1)+π‘₯ =𝒙^𝟐/𝟐+𝒙 Hence F(π‘₯)=π‘₯^2/2+π‘₯ ∫_(βˆ’πŸ)^πŸβ–’(𝒙+𝟏)𝒅𝒙 =𝑭(𝟏)βˆ’π‘­(βˆ’πŸ) =((1)^2/2+1)βˆ’((βˆ’1)^2/2+(βˆ’1)) =(1/2+1)βˆ’(1/2βˆ’1) =1/2+1βˆ’1/2+1 = 1/2βˆ’1/2+1+1 = 2

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