Ex 7.3, 17 - Integrate sin3 x + cos 3 x / sin2 x cos2 x - Ex 7.3

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.3, 17 sin﷮3﷯﷮𝑥﷯ + cos﷮3﷯﷮𝑥﷯﷮ sin﷮2﷯﷮𝑥﷯ cos﷮2﷯﷮𝑥﷯﷯ ﷮﷮ sin﷮3﷯﷮𝑥﷯ + cos﷮3﷯﷮𝑥﷯﷮ sin﷮2﷯﷮𝑥﷯ cos﷮2﷯﷮𝑥﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ sin﷮3﷯﷮𝑥﷯﷮ sin﷮2﷯﷮𝑥﷯ cos﷮2﷯﷮𝑥﷯﷯ + cos﷮3﷯﷮𝑥﷯﷮ sin﷮2﷯﷮𝑥﷯ cos﷮2﷯﷮𝑥﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ sin﷮𝑥﷯﷮ cos﷮2﷯﷮𝑥﷯﷯ + cos﷮𝑥﷯﷮ sin﷮2﷯﷮𝑥﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ sin﷮𝑥﷯﷮ 𝑐𝑜𝑠﷮𝑥﷯﷯ . 1﷮ cos﷮𝑥﷯﷯ + cos﷮𝑥﷯﷮ 𝑠𝑖𝑛﷮𝑥﷯﷯ . 1﷮ sin﷮𝑥﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ tan﷮𝑥﷯. sec﷮𝑥﷯﷯+ cot﷮𝑥﷯. cosec 𝑥﷯﷯﷯𝑑𝑥 = ﷮﷮ sec 𝑥 ﷮ tan﷮𝑥﷯﷯﷯𝑑𝑥+ ﷮﷮ cot﷮𝑥﷯﷯cosec 𝑥 𝑑𝑥 = sec﷮𝑥﷯+ −𝑐𝑜𝑠𝑒𝑐 𝑥﷯+𝐶 = 𝒔𝒆𝒄﷮𝒙﷯−𝒄𝒐𝒔𝒆𝒄 𝒙+𝑪

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