# Ex 7.4, 15

Last updated at March 11, 2017 by Teachoo

Last updated at March 11, 2017 by Teachoo

Transcript

Ex 7.4, 15 1 (𝑥 − 𝑎)(𝑥 − 𝑏) Integrating the function 𝑤.𝑟.𝑡.𝑥 1 𝑥 − 𝑎 (𝑥 − 𝑏) 𝑑𝑥 = 1 𝑥 𝑥 − 𝑎 − 𝑎(𝑥 − 𝑏) 𝑑𝑥 = 1 𝑥2 − 𝑏𝑥 − 𝑎𝑥 + 𝑎𝑏 𝑑𝑥 = 1 𝑥2 − 𝑥 𝑎 + 𝑏 + 𝑎𝑏 𝑑𝑥 = 1 𝑥2 − 2 𝑥 𝑎 + 𝑏2 + 𝑎𝑏 𝑑𝑥 = 1 𝑥2 − 2 𝑥 𝑎 + 𝑏2 + 𝑎 + 𝑏22− 𝑎 + 𝑏22+ 𝑎𝑏 𝑑𝑥 = 1 𝑥 − 𝑎 + 𝑏22 − 𝑎 + 𝑏22+ 𝑎𝑏 𝑑𝑥 = 1 𝑥 − 𝑎 + 𝑏22 − 𝑎2 + 𝑏2+ 2𝑎𝑏4 + 𝑎𝑏 𝑑𝑥 = 1 𝑥 − 𝑎 + 𝑏22+ − 𝑎2 − 𝑏2 − 2𝑎𝑏 + 4𝑎𝑏4 𝑑𝑥 = 1 𝑥 − 𝑎 + 𝑏22 + − 𝑎2 − 𝑏2 + 2𝑎𝑏4 𝑑𝑥 = 1 𝑥 − 𝑎 + 𝑏22 − 𝑎2 + 𝑏2 − 2𝑎𝑏4 𝑑𝑥 = 1 𝑥 − 𝑎 + 𝑏22 − 𝑎 − 𝑏22 𝑑𝑥 = 𝑙𝑜𝑔 𝑥 − 𝑎 + 𝑏2 + 𝑥 − 𝑎 + 𝑏22− 𝑎 − 𝑏22+𝐶 = 𝑙𝑜𝑔 𝑥− 𝑎 + 𝑏2 + 𝑥2+ 𝑎 + 𝑏22−2 𝑥 𝑎 + 𝑏2− 𝑎 − 𝑏22+𝐶 = 𝑙𝑜𝑔 𝑥− 𝑎 + 𝑏2 + 𝑥2−2 𝑥 𝑎 + 𝑏2+ 𝑎 + 𝑏22− 𝑎 − 𝑏22+𝐶 = 𝑙𝑜𝑔 𝑥− 𝑎 + 𝑏2 + 𝑥2−𝑥 𝑎+𝑏+ 𝑎2 + 𝑏2 + 2𝑎𝑏4− 𝑎2 + 𝑏2 − 2𝑎𝑏4+𝐶 = 𝑙𝑜𝑔 𝑥− 𝑎 + 𝑏2 + 𝑥2−𝑥 𝑎+𝑏+ 4𝑎𝑏4 +𝐶 = 𝑙𝑜𝑔 𝑥− 𝑎 + 𝑏2 + 𝑥2−𝑥 𝑎+𝑏+𝑎𝑏 +𝐶 = 𝑙𝑜𝑔 𝑥− 𝑎 + 𝑏2 + 𝑥2−𝑎𝑥−𝑏𝑥+𝑎𝑏 +𝐶 = 𝑙𝑜𝑔 𝑥− 𝑎 + 𝑏2 + 𝑥 𝑥−𝑎−𝑏 𝑥−𝑎 +𝐶 = 𝒍𝒐𝒈 𝒙− 𝒂 + 𝒃𝟐 + 𝒙−𝒂 𝒙−𝒃 +𝑪

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.