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

Integrate the following functions: `(cos2x-cos 2alpha)/(cosx-cos alpha)`

Text Solution

Verified by Experts

`(cos2x-cos2alpha)/(cosx-cos alpha)`
`(2cos^2x-1-(2 cos^2 alpha-1))/(cosx-cos alpha)`
=`(2cos^x-2 cos^2 alpha)/(cosx-cos alpha)`
`(2(cosx-cos alpha)(cosx+cos alpha))/(cosx-cos alpha)`
=`2(cosx+cosalpha)`
therefore` int(cos2x-cos2 alpha)/9cosx -cos alpha) dx`
=`int2(cosx+cos alpha) dx`
=`2[sinx+xcos alpha]+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: cos2x cos4x cos6x

Integrate the following functions: sin 3x cos4x

Integrate the following functions sqrt(sin2x) cos2x

Integrate the following functions: 1/(cos(x-a) cos(x-b)

Integrate the following functions: sin^3 x cos^3 x

Integrate the following functions: 1/(sinx cos^3x)

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

Integrate the following functions sinx/(1+cosx)^2