Ex 7.3, 8 - Chapter 7 Class 12 Integrals

Last updated at December 16, 2024 by

Ex 7.3, 8 - Integrate 1 - cos x / 1 + cos x - Integration using trigo identities - 2x formulae Ex 7.3, 8 - Chapter 7 Class 12 Integrals - Part 2

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Ex 7.3, 8 1 − 𝑐𝑜𝑠 𝑥﷮1 + 𝑐𝑜𝑠 𝑥﷯ ﷮﷮ 1 − cos﷮𝑥﷯﷮1 + cos﷮𝑥﷯﷯﷯ We know that Thus, our equation becomes ﷮﷮ 1 − cos﷮𝑥﷯﷮1 + cos﷮𝑥﷯﷯﷯ 𝑑𝑥= ﷮﷮ 2 sin﷮2﷯﷮ 𝑥﷮2﷯﷯﷮2 cos﷮2﷯﷮ 𝑥﷮2﷯﷯﷯﷯ = ﷮﷮ sin﷮2﷯﷮ 𝑥﷮2﷯﷯﷮ cos﷮2﷯﷮ 𝑥﷮2﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ tan﷮2﷯﷮ 𝑥﷮2﷯﷯﷯ 𝑑𝑥 = ﷮﷮ sec﷮2﷯﷮ 𝑥﷮2﷯ −1﷯﷯﷯𝑑𝑥 = ﷮﷮ sec﷮2﷯﷮ 𝑥﷮2﷯﷯﷯𝑑𝑥− ﷮﷮𝑑𝑥﷯ = tan﷮2﷯ ﷮ 𝑥﷮2﷯﷯﷮ 1﷮2﷯﷯ −𝑥+𝐶 =𝟐 𝐭𝐚𝐧﷮ 𝒙﷮𝟐﷯﷯ −𝒙+𝑪

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo