Ex 7.2, 9 - Class 12
Last updated at May 29, 2018 by Teachoo
Transcript
Ex 7.2, 9 Integrate the function: (4𝑥 + 2) 𝑥2+𝑥+1 Step 1: Let 𝑥2+𝑥+1 = 𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 2𝑥+1+0= 𝑑𝑡𝑑𝑥 2𝑥+1= 𝑑𝑡𝑑𝑥 𝑑𝑥= 𝑑𝑡2𝑥+1 Step 2: Integrating the function (4𝑥 + 2) 𝑥2+𝑥+1 . 𝑑𝑥 = 2(2𝑥 +1) 𝑥2+𝑥+1 . 𝑑𝑥 Putting 𝑥2+𝑥+1=𝑡 & 𝑑𝑥= 𝑑𝑡2𝑥+1 = 2(2𝑥 +1) 𝑡 . 𝑑𝑡2𝑥+1 = 2 𝑡 . 𝑑𝑡 = 2 𝑡 . 𝑑𝑡 = 2 𝑡 12 . 𝑑𝑡 = 2 . 𝑡 12 + 1 12 + 1 + 𝐶 = 2 . 𝑡 32 32 + 𝐶 = 2 . 23. 𝑡 32 + 𝐶 = 43. 𝑡 32 + 𝐶 = 𝟒𝟑. 𝒙𝟐+𝒙+𝟏 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.