Ex 7.11, 1 - Using properties of definite integrals - Chapter 7 - Ex 7.11

Slide2.JPG

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

Transcript

Ex 7.11, 1 By using the properties of definite integrals, evaluate the integrals : 0﷮ 𝜋﷮2﷯﷮ cos﷮2﷯﷮𝑥﷯ 𝑑𝑥﷯ Let I= 0﷮ 𝜋﷮2﷯﷮ cos﷮2﷯﷮𝑥﷯ 𝑑𝑥﷯ I= 0﷮ 𝜋﷮2﷯﷮ cos﷮2﷯﷮ ﷯ 𝜋﷮2﷯−𝑥﷯𝑑𝑥﷯ I= 0﷮ 𝜋 ﷮2﷯﷮ sin﷮2﷯ 𝑥﷮𝑑𝑥﷯﷯ Adding (1) and (2) i.e. (1) + (2) I+I= 0﷮ 𝜋﷮2﷯﷮ cos﷮2﷯﷮𝑥﷯ 𝑑𝑥﷯ + 0﷮ 𝜋 ﷮2﷯﷮ sin﷮2﷯ 𝑥﷮𝑑𝑥﷯﷯ 2I= 0﷮ 𝜋 ﷮2﷯﷮ cos﷮2﷯﷮𝑥+ sin﷮2﷯﷮𝑥﷯﷯﷯﷮𝑑𝑥﷯﷯ 2I = 0﷮ 𝜋 ﷮2﷯﷮ 1 .﷮𝑑𝑥﷯﷯ 2I= 𝑥﷯﷮0﷮ 𝜋﷮2﷯﷯ 2I = 𝜋﷮2﷯−0 2I = 𝜋﷮2﷯ 𝐈= 𝝅﷮𝟒﷯

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 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.