Ex 7.2, 15
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 7.2, 15 Integrate the function: 𝑥9 − 4𝑥2 Step 1: Let 9 – 4𝑥2 = 𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 0−4.2 𝑥2−1= 𝑑𝑡𝑑𝑥 −8𝑥.𝑑𝑥=𝑑𝑡 𝑑𝑥 = 𝑑𝑡−8𝑥 Step 2: Integrating the function 𝑥9 − 4𝑥2 . 𝑑𝑥 Putting 9 − 4𝑥2=𝑡 & 𝑑𝑥= 𝑑𝑡−8𝑥 = 𝑥𝑡 . 𝑑𝑡−8𝑥 = − 18 1𝑡 . 𝑑𝑡 = − 18 log 𝑡+𝐶 = − 𝟏𝟖 𝐥𝐨𝐠 𝟗 − 𝟒𝒙𝟐+𝑪
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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.