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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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