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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo