Ex 7.2, 6 - Class 12
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 7.2, 6 Integrate the function: 𝑎𝑥+𝑏 Step 1: Let 𝑎𝑥 + 𝑏 = 𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 𝑎.1+0 = 𝑑𝑡𝑑𝑥 𝑎= 𝑑𝑡𝑑𝑥 𝑑𝑥= 𝑑𝑡𝑎 Step 2: Integrating the function 𝑎𝑥+𝑏 .𝑑𝑥 putting 𝑡=𝑎𝑥+𝑏 & 𝑑𝑥= 𝑑𝑡𝑎 = 𝑡 . 𝑑𝑡𝑎 = 1𝑎 𝑡 .𝑑𝑡 = 1𝑎 𝑡 12 .𝑑𝑡 = 1𝑎 𝑡 12 +1 12 +1+𝐶1 = 1𝑎 𝑡 32 32+𝐶1 = 1𝑎 23. 𝑡 32+𝐶1 = 23𝑎. 𝑡 32 + 𝐶1𝑎 = 23𝑎. 𝑡 32 + 𝐶 = 𝟐𝟑𝒂. 𝒂𝒙+𝒃 𝟑𝟐 + 𝑪
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.