1. Chapter 7 Class 12 Integrals
  2. Serial order wise
  3. Ex 7.11

Ex 7.11, 1 - Class 12

Last updated at May 29, 2018 by

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

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
    3. Ex 7.11
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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﷯

Chapter 7 Class 12 Integrals
Serial order wise

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