Home
Class 12
MATHS
Integrate the following functions: (cos2...

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

Text Solution

Verified by Experts

`(cos2x+2 sin^2x)/cos^2x)`
`=(1-2sin^2x+2sin^2x)/cos^2x = sec^2x`
therefore `int (cos2x+2sin^2x)/cos^2x) = tanx+c`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK |134 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|22 Videos

Similar Questions

Explore conceptually related problems

Integrate the following functions: cos^4(2x)

Integrate the following functions x cos^-1x

Integrate the following functions x sec^2x

Integrate the following functions x log2x

Integrate the following functions e^(2x+3)

Integrate the following functions: cos2x cos4x cos6x

Integrate the following functions x^2e^x

Integrate the following functions: sinx sin2x sin3x

Integrate the following functions (sin^-1x)^2

Integrate the following functions x/e^(x^2)