web analytics

Ex 7.2, 22 - Integrate sec2 (7 - 4x) - Chapter 7 Class 12 - Integration by substitution - Trignometric - Normal

Slide20.JPG

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

Transcript

Ex 7.2, 22 sec﷮2﷯ 7 – 4𝑥﷯ Step 1: Let 7 – 4𝑥=𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 0−4= 𝑑𝑡﷮𝑑𝑥﷯ −4= 𝑑𝑡﷮𝑑𝑥﷯ 𝑑𝑥 = 𝑑𝑡﷮−4﷯ Step 2: Integrating the function ﷮﷮ sec﷮2﷯ 7 – 4𝑥﷯﷯. 𝑑𝑥 putting 7− 4𝑥=𝑡 & 𝑑𝑥= 𝑑𝑡﷮−4﷯ = ﷮﷮ sec﷮2﷯ 𝑡﷯﷯. 𝑑𝑡﷮−4﷯ = − 1﷮4﷯ ﷮﷮ sec﷮2﷯ 𝑡﷯﷯. 𝑑𝑡 = − 1﷮4﷯ tan﷮ 𝑡﷯﷯+𝐶 = − 𝟏﷮𝟒﷯ 𝒕𝒂𝒏﷮ 𝟕−𝟒𝒙﷯﷯+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 provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail