Home
Class 12
MATHS
Integrate the following functions sinx/(...

Integrate the following functions `sinx/(1+cosx)`.

Text Solution

Verified by Experts

Let t = 1+cosx.
Then dt = -sinx dx
therefore` int sinx/(1+cosx) dx = int 1/t xx -dt`
=`-log|t|+c`
=`-log|1+cosx|+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 xsinx

Integrate the following functions: cosx/(1+cosx)

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

Integrate the following functions sinx sin(cosx).

Integrate the following functions: sin^-1(cosx)

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

Integrate the following functions x sin^-1x

Integrate the following functions tan^-1x

Integrate the following functions x logx

Integrate the following functions 1/(1+cotx)