Ex 7.6, 19 - Integrate ex (1/x - 1/x2) - Class 12 CBSE - Ex 7.6

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise

Transcript

Ex 7.6, 19 - Chapter 7 Integration - Class 12 NCERT Book e^x (1/x - 1/x^2) โˆซ1โ–’ใ€–๐‘’๐‘ฅ" " (1/๐‘ฅ โˆ’ 1/๐‘ฅ2) ๐‘‘๐‘ฅใ€— It is of form โˆซ1โ–’ใ€–๐‘’^๐‘ฅ (๐‘“(๐‘ฅ)+๐‘“^โ€ฒ (๐‘ฅ)) ใ€— ๐‘‘๐‘ฅ=๐‘’^๐‘ฅ ๐‘“(๐‘ฅ)+๐ถ Putting, ๐‘“(๐‘ฅ)=1/๐‘ฅ " " โˆด ๐‘“^โ€ฒ (๐‘ฅ)= (โˆ’ 1)/๐‘ฅ2 Thus, โˆซ1โ–’ใ€–๐‘’๐‘ฅ" " (1/๐‘ฅ โˆ’ 1/๐‘ฅ2) ๐‘‘๐‘ฅใ€— = ๐’†^๐’™/๐’™+๐‘ช

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.