Ex 7.11, 8 - Evaluate integral log (1 + tan x) dx - Ex 7.11

Slide16.JPG
Slide17.JPG

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
Ask Download

Transcript

Ex 7.11,8 By using the properties of definite integrals, evaluate the integrals : 0 4 log 1+ tan Let I= 0 4 log 1+ tan I= 0 4 log 1+ tan 4 I= 0 4 log 1+ tan 4 tan 1 + tan 4 . tan I= 0 4 log 1+ 1 tan 1 + 1 . tan I= 0 4 log 1 tan + 1 tan 1 + tan I= 0 4 log 2 1 + tan I= 0 4 log 2 log 1+ tan I= 0 4 log 2 0 4 log 1+ tan Adding (1) and (2) i.e. (1) + (2) I+I= 0 4 log 1+ tan + 0 4 log 2 0 4 log 1+ tan 2I= 0 4 log 2 2I= log 2 0 4 I= log 2 2 0 4 I= log 2 2 4 0 I= log 2 2 4 =

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
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.