Ex 7.2, 14
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 7.2, 14 Integrate the function: 1𝑥 log𝑥𝑚 , 𝑥 > 0 Step 1: Let log𝑥=𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 1𝑥= 𝑑𝑡𝑑𝑥 𝑑𝑥=𝑥 . 𝑑𝑡 Step 2: Integrating the function 1𝑥 log𝑥𝑚 . 𝑑𝑥 putting 𝑙𝑜𝑔𝑥=𝑡 & 𝑑𝑥=𝑥 . 𝑑𝑡 = 1𝑥 . 𝑡𝑚 . 𝑥 𝑑𝑡 = 1 𝑡𝑚 . 𝑑𝑡 = 𝑡−𝑚 . 𝑑𝑡 = 𝑡− 𝑚 + 1−𝑚 +1 +𝐶 = 𝑡1 − 𝑚1 −𝑚 +𝐶 = 𝒍𝒐𝒈𝒙𝟏 − 𝒎𝟏 − 𝒎 +𝑪
Ex 7.2
Ex 7.2, 1
Ex 7.2, 2
Ex 7.2, 3
Ex 7.2, 4
Ex 7.2, 5
Ex 7.2, 6
Ex 7.2, 7
Ex 7.2, 8
Ex 7.2, 9
Ex 7.2, 10
Ex 7.2, 11
Ex 7.2, 12
Ex 7.2, 13
Ex 7.2, 14 You are here
Ex 7.2, 15
Ex 7.2, 16
Ex 7.2, 17
Ex 7.2, 18
Ex 7.2, 19
Ex 7.2, 20 Important
Ex 7.2, 21
Ex 7.2, 22
Ex 7.2, 23
Ex 7.2, 24
Ex 7.2, 25
Ex 7.2, 26 Important
Ex 7.2, 27
Ex 7.2, 28
Ex 7.2, 29
Ex 7.2, 30
Ex 7.2, 31
Ex 7.2, 32
Ex 7.2, 33
Ex 7.2, 34
Ex 7.2, 35 Important
Ex 7.2, 36 Important
Ex 7.2, 37
Ex 7.2, 38
Ex 7.2, 39
About the Author
Davneet Singh
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/.