Ex 7.3, 15 - Integrate tan3 2x sec 2x - Class 12 NCERT - Ex 7.3

Slide39.JPG
Slide40.JPG

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

Transcript

Ex 7.3, 15 tan3 2 sec 2 Let I= 3 2 sec 2 = tan 2 2 . tan 2 . sec 2 = sec 2 2 1 2 . sec 2 Putting sec 2 = Differentiating w.r.t.x sec 2 = 2 sec 2 tan 2 = = 2 sec 2 tan 2 Putting values of sec 2x and dx in equation I = sec 2 2 1 2 . sec 2 = 2 1 2 . sec 2 2 sec 2 tan 2 = 2 1 2 = 1 2 2 1 = 1 2 2 1 = 1 2 2 + 1 2 + 1 + = 1 2 3 3 + Putting value of = 2 = 1 2 sec 3 2 3 sec 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.