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

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

Text Solution

Verified by Experts

` int (cos 2x+ 2sin^(2)x)/(cos^(2) x)dx`
`= int (1-2sin^(2)x +2 sin^(2)x)/(cos^(2) x) dx`
` = int (1)/( cos^(2) x) dx`
` = int sec^(2) x dx = tan x+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.4|25 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.5|23 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.2|39 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 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 (sin^2x)/(1+cosx)

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

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

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

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

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

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

Integrate the functions sqrt(sin2x)cos2x