Ex 7.6, 4 - Class 12

Last updated at May 29, 2018 by Teachoo

Ex 7.6, 4 - Finding integration x log x - CBSE NCERT - Ex 7.6

Transcript

Ex 7.6, 4 𝑥 log⁡𝑥 ∫1▒〖𝑥 log⁡𝑥 〗 𝑑𝑥 ∫1▒〖𝑥 log⁡𝑥 〗 𝑑𝑥=∫1▒(log⁡𝑥 )𝑥 𝑑𝑥 =log⁡𝑥 ∫1▒𝑥 𝑑𝑥−∫1▒(𝑑(log⁡𝑥 )/𝑑𝑥 ∫1▒〖𝑥.𝑑𝑥〗)𝑑𝑥 =log⁡𝑥 (𝑥^2/2)−∫1▒〖1/𝑥 . 𝑥^2/2. 𝑑𝑥〗 =〖𝑥^2/2 log〗⁡〖 𝑥〗−1/2 ∫1▒〖𝑥. 𝑑𝑥〗 =〖𝑥^2/2 log〗⁡𝑥−1/2 . 𝑥^2/2 +𝐶 =〖𝒙^𝟐/𝟐 𝒍𝒐𝒈〗⁡〖 𝒙〗− 𝒙^𝟐/𝟒 +𝑪 " "

Ex 7.6

Ex 7.6, 4 You are here

Ex 7.7 →

Chapter 7 Class 12 Integrals

Serial order wise

About the Author

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.

Prem Kumar

July 7, 2017, 2 p.m.

Xlog2x

View answer