Misc 32 - Definite integral x tan x / sec x + tanx - Definate Integration by properties - P4

Slide32.JPG
Slide33.JPG Slide34.JPG

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

Transcript

Misc 32 Evaluate the definite integral 0 tan sec + tan Let I= 0 tan sec + tan I= 0 tan sec + tan I= 0 ( tan ) ( sec ) + ( tan ) I= 0 tan ( sec + tan ) I = 0 ( tan ) ( sec ) +( ) (tan ) Adding (1) and (2) i.e. (1) + (2) I+I= 0 tan sec + tan + 0 tan tan sec + tan 2I= 0 tan + tan tan sec + tan 2I= 0 tan sec + tan 2I= 0 tan sec + tan I= 2 0 tan sec + tan = 2 0 sin cos 1 cos + sin cos = 2 0 sin 1 + sin = 2 0 sin + 1 1 1 + sin = 2 0 1 + sin 1 + sin 1 1 + sin = 2 0 1 1 1 + sin = 2 0 1 0 1 1 + sin = 2 0 0 1 1 + sin 1 sin 1 sin = 2 0 0 1 sin 1 sin 2 = 2 0 1 sin cos 2 = 2 0 1 cos 2 sin cos 2 = 2 0 sec 2 tan sec = 2 0 sec 2 + 0 tan sec = 2 tan 0 + sec 0 = 2 tan tan 0 + sec sec 0 = 2 0 0 + 1 1 = 2 0+ 2 =

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.