Ex 7.2, 18 - Chapter 7 Class 12 Integrals
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Ex 7.2, 18 𝑒 tan−1 𝑥1 + 𝑥2 Step 1: Let tan−1 𝑥 = 𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 11 + 𝑥2= 𝑑𝑡𝑑𝑥 𝑑𝑥 = 1 + 𝑥2𝑑𝑡 Step 2: Integrating the function 𝑒 tan−1 𝑥1 + 𝑥2 . 𝑑𝑥 putting 𝑡𝑎𝑛−1 𝑥=𝑡 & 𝑑𝑥= 1 + 𝑥2𝑑𝑡 = 𝑒𝑡1 + 𝑥2 . 1 + 𝑥2𝑑𝑡 = 𝑒𝑡 . 𝑑𝑡 = 𝑒𝑡+𝐶 = 𝒆 𝒕𝒂𝒏−𝟏 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