Home
Class 12
MATHS
Integrate the functions (cos2x+2sin^2x)/...

Integrate the functions `(cos2x+2sin^2x)/(cos^2x)`

Text Solution

Verified by Experts

Given `int(cos2x+2sin^2x)/(cos^2x)`
`"since" (cos2x=1-2sin^2x)`
`=int((1-2sin^2x+2sin^2x)/(cos^2x))dx`
`=int(1/(cos^2x))dx`
...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|46 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.1|22 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|44 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions cos^4 2x

Integrate the functions (2+sin2x)/(1+cos2x)e^x

Integrate the functions (cos2x)/((cosx+sinx)^2)

Integrate the functions (cos2x)/((cosx+sinx)^2)

Integrate the functions (sin^2x)/(1+cosx)

Integrate the functions (sin^2x)/(1+cosx)

Integrate the functions (cos2x-cos2alpha)/(cosx-cosalpha)

Integrate the functions sqrt(sin2x)cos2x

Integrate the functions cos 2x cos 4x cos 6x

Integrate the functions 1/(cos^2x(1-tanx)^2)