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Ex 7.2, 30 - Integrate sin x / (1 + cos x) - Integration by substitution - Trignometric - Normal

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.2, 30 sin﷮𝑥﷯﷮1 + cos﷮𝑥﷯﷯ 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﷯﷯﷯. 𝑑𝑥 putting 1+ 𝑐𝑜𝑠﷮𝑥﷯=𝑡 & 𝑑𝑥= 𝑑𝑡﷮− sin 𝑥﷯ = ﷮﷮ sin﷮𝑥﷯﷮𝑡﷯﷯ . 𝑑𝑡﷮− sin 𝑥﷯ = ﷮﷮ 𝑑𝑡﷮− 𝑡﷯﷯ = −1 ﷮﷮ 1﷮𝑡﷯﷯ . 𝑑𝑡 = − log﷮ 𝑡﷯﷯+𝐶 = − 𝒍𝒐𝒈﷮ 𝟏+ 𝐜𝐨𝐬﷮𝒙﷯﷯﷯+𝑪

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