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Ex 7.1, 19 - Integrate sec2 x / cosec2 x dx - Using Trignometric Formulaes

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.1, 19 ﷮﷮ sec﷮2﷯﷮𝑥﷯﷮𝑐𝑜𝑠𝑒 𝑐﷮2﷯ 𝑥﷯﷯dx ﷮﷮ sec﷮2﷯﷮𝑥﷯﷮𝑐𝑜𝑠𝑒 𝑐﷮2﷯ 𝑥﷯﷯𝑑𝑥 = ﷮﷮ 1﷮ cos﷮2﷯﷮𝑥﷯﷯﷮ 1﷮ sin﷮2﷯﷮𝑥﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ cos﷮2﷯﷮𝑥﷯﷯× sin﷮2﷯﷮𝑥﷯﷮1﷯﷯﷯ 𝑑𝑥 = ﷮﷮ sin﷮2﷯﷮𝑥﷯﷮ cos﷮2﷯﷮𝑥﷯﷯﷯ 𝑑𝑥 = ﷮﷮ tan﷮2﷯﷮𝑥﷯﷯ 𝑑𝑥 = ﷮﷮ sec﷮2﷯﷮𝑥﷯−1﷯﷯ 𝑑𝑥 = ﷮﷮ sec﷮2﷯﷮𝑥﷯﷯ 𝑑𝑥− ﷮﷮1﷯ 𝑑𝑥 = ﷮﷮ sec﷮2﷯﷮𝑥﷯﷯ 𝑑𝑥− ﷮﷮ 𝑥﷮0﷯﷯ 𝑑𝑥 = tan﷮𝑥﷯− 𝑥﷮0 + 1﷯﷮0 + 1﷯+𝐶 = tan﷮𝑥﷯− 𝑥﷮1﷯﷮1﷯+𝐶 = 𝒕𝒂𝒏﷮𝒙﷯−𝒙+𝑪

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