Ex 7.6, 23 - Integrate x2 ex3 dx - Chapter 7 Class 12 - Ex 7.6

Slide25.JPG

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

Transcript

Ex 7.6, 23 ﷮﷮ 𝑥﷮2﷯ 𝑒﷮𝑥﷯﷮3﷯ 𝑑𝑥﷯ (A) 1﷮3﷯ 𝑒﷮𝑥﷯﷮3﷯+ C (B) 1﷮3﷯ 𝑒﷮ 𝑥﷮2﷯﷯+ C (C) 1﷮2﷯ 𝑒﷮𝑥﷯﷮3﷯+ C (D) 1﷮3﷯ 𝑒﷮ 𝑥﷮2﷯﷯ + C Let 𝑥﷮3﷯=𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 3 𝑥﷮2﷯= 𝑑𝑡﷮𝑑𝑥﷯ 𝑑𝑥= 𝑑𝑡﷮3 𝑥﷮2﷯﷯ Integrating the function 𝑤.𝑟.𝑡.𝑥 ﷮﷮ 𝑥﷮2﷯ 𝑒﷮𝑥﷯﷮3﷯ 𝑑𝑥﷯ Put the value of 𝑥﷮3﷯ and 𝑑𝑥 ∴ ﷮﷮ 𝑥﷮2﷯ 𝑒﷮𝑥﷯﷮3﷯ 𝑑𝑥﷯= ﷮﷮ 𝑥﷮2﷯ 𝑒﷮𝑡﷯ 𝑑𝑥﷯ = ﷮﷮ 𝑥﷮2﷯ 𝑒﷮𝑡﷯ 𝑑𝑡﷮3 𝑥﷮2﷯﷯﷯ = ﷮﷮ 𝑒﷮𝑡﷯﷮3﷯ 𝑑𝑡﷯ = 𝑒﷮𝑡﷯﷮3﷯+𝐶 = 𝑒﷮ 𝑥﷮3﷯﷯﷮3﷯ + 𝐶 ∴ Option (A) is correct answer.

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