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

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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

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.