Ex 7.3, 9 - Integrate cos x / 1 + cos x - Class 12 CBSE - Integration using trigo identities - 2x formulae

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.3, 9 𝑐𝑜𝑠 𝑥﷮1+𝑐𝑜𝑠 𝑥﷯ ﷮﷮ 𝑐𝑜𝑠 𝑥﷮1+𝑐𝑜𝑠 𝑥﷯ 𝑑𝑥﷯ = ﷮﷮ cos﷮𝑥﷯ + 1 − 1﷮1 + cos﷮𝑥﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 1 + cos﷮𝑥﷯ − 1﷮1 + cos﷮𝑥﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 1 + cos﷮𝑥﷯﷮1 + cos﷮𝑥﷯﷯ − 1﷮1 + cos﷮𝑥﷯﷯﷯﷯𝑑𝑥 = ﷮﷮1− 1﷮1 + cos﷮𝑥﷯﷯﷯𝑑𝑥 = ﷮﷮1﷯𝑑𝑥− ﷮﷮ 1﷮1 + cos﷮𝑥﷯﷯﷯𝑑𝑥 = ﷮﷮1﷯𝑑𝑥− ﷮﷮ 1﷮2 cos﷮2﷯﷮ 𝑥﷮2﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮1﷯𝑑𝑥− ﷮﷮ 1﷮2﷯﷯ sec﷮2﷯﷮ 𝑥﷮2﷯﷯ 𝑑𝑥 = ﷮﷮1﷯𝑑𝑥− 1﷮2﷯ ﷮﷮ sec﷮2﷯﷮ 𝑥﷮2﷯﷯﷯ 𝑑𝑥 =𝑥− 1﷮2﷯ tan ﷮ 𝑥﷮2﷯﷯﷮ 1﷮2﷯﷯ +𝐶 =𝑥− 2﷮2﷯ tan ﷮ 𝑥﷮2﷯﷯ +𝐶 =𝒙− 𝐭𝐚𝐧 ﷮ 𝒙﷮𝟐﷯﷯ +𝑪

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