Ex 7.2, 31 - Chapter 7 Class 12 Integrals

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Ex 7.2, 31 - Integrate sin x / (1 + cos x)2 - Ex 7.2

Ex 7.2, 31 - Chapter 7 Class 12 Integrals - Part 2
Ex 7.2, 31 - Chapter 7 Class 12 Integrals - Part 3

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Ex7.2, 31 sin﷮𝑥﷯﷮ 1+ cos﷮𝑥﷯﷯2﷯ Step 1: Let 1+ cos﷮𝑥﷯=𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 0−sin 𝑥= 𝑑𝑡﷮𝑑𝑥﷯ − sin 𝑥= 𝑑𝑡﷮𝑑𝑥﷯ 𝑑𝑥 = 𝑑𝑡﷮− sin 𝑥﷯ Step 2: Integrating the function ﷮﷮ sin﷮𝑥﷯﷮ 1+ cos﷮𝑥﷯﷯2﷯ ﷯. 𝑑𝑥 putting 1+ 𝑐𝑜𝑠﷮𝑥﷯=𝑡 & 𝑑𝑥= 𝑑𝑡﷮− sin 𝑥﷯ = ﷮﷮ sin﷮𝑥﷯﷮ 𝑡﷮2﷯﷯﷯ . 𝑑𝑡﷮− sin 𝑥﷯ = ﷮﷮ 1﷮− 𝑡﷮2﷯﷯﷯ = −1 ﷮﷮ 1﷮ 𝑡﷮2﷯﷯﷯ . 𝑑𝑡 = −1 𝑡﷮−2 +1﷯﷮−2 +1﷯ +𝐶 = −1 𝑡﷮−1﷯﷮−1﷯ +𝐶 = 𝑡﷮−1﷯ +𝐶 = 1﷮𝑡﷯ +𝐶 = 𝟏﷮𝟏+ 𝒄𝒐𝒔﷮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