Ex 7.2, 26 - Integrate cos root(x) / root x - Integration by substitution - Trignometric - Normal

Slide30.JPG

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

Transcript

Ex 7.2, 26 cos﷮ ﷮𝑥﷯﷯﷮ ﷮𝑥﷯﷯ Step 1: Let ﷮𝑥﷯=𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 1﷮2﷯﷯ 𝑥﷮ 1﷮2﷯ − 1﷯= 𝑑𝑡﷮𝑑𝑥﷯ 1﷮2﷯. 𝑥﷮− 1﷮2﷯﷯= 𝑑𝑡﷮𝑑𝑥﷯ 1﷮2 ﷮𝑥﷯﷯ = 𝑑𝑡﷮𝑑𝑥﷯ 𝑑𝑥 =2 ﷮𝑥﷯ . 𝑑𝑡 𝑑𝑥 =2𝑡 . 𝑑𝑡 Step 2: Integrating the function ﷮﷮ cos﷮ ﷮𝑥﷯﷯﷮ ﷮𝑥﷯﷯ ﷯. 𝑑𝑥 putting ﷮𝑥﷯=𝑡 & 𝑑𝑥=2𝑡 . 𝑑𝑡 = ﷮﷮ cos﷮𝑡﷯﷮𝑡﷯﷯. 2𝑡 . 𝑑𝑡 = ﷮﷮ 2 cos﷮𝑡﷯﷯. 𝑑𝑡 = 2 ﷮﷮ cos﷮𝑡﷯﷯. 𝑑𝑡 = 2 sin﷮𝑡﷯+𝐶 = 𝟐 𝒔𝒊𝒏﷮ ﷮𝒙﷯﷯+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