Ex 7.6, 20 - Integrate (x - 3)ex / (x - 1)3 - Class 12 - Ex 7.6

Slide15.JPG

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

Transcript

Ex7.6, 20 𝑥−3﷯𝑒𝑥﷮ 𝑥−1﷯3﷯ ﷮﷮ 𝑥 − 3﷯﷮ 𝑥 −1﷯3﷯ .𝑒𝑥 𝑑𝑥﷯ = ﷮﷮ 𝑥 − 1 − 2﷮ 𝑥 −1﷯﷮3﷯﷯ .𝑒𝑥 𝑑𝑥﷯ = ﷮﷮𝑒𝑥 𝑥 − 1﷮ 𝑥 −1﷯﷮2﷯﷯ − 2﷮ 𝑥 −1﷯﷮3﷯﷯﷯𝑑𝑥﷯ = ﷮﷮𝑒𝑥 1﷮ 𝑥 −1﷯﷮2﷯﷯ − 2﷮ 𝑥 −1﷯﷮3﷯﷯﷯𝑑𝑥﷯ Putting, 𝑓 𝑥﷯= 1﷮ 𝑥 −1﷯﷮2﷯﷯ ∴ 𝑓﷮′﷯ 𝑥﷯= − 2﷮ 𝑥 − 1﷯﷮3﷯﷯ Thus, ﷮﷮𝑒𝑥 1﷮ 𝑥 − 1﷯﷮2﷯﷯ − 2﷮ 𝑥 − 1﷯﷮3﷯﷯﷯𝑑𝑥﷯ = 𝒆𝒙﷮ 𝒙 − 𝟏﷯𝟐﷯ +𝑪

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 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
Jail