Advertisement Remove all ads

Evaluate: ∫1/(x logx log(logx))dx - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Evaluate: `int1/(xlogxlog(logx))dx`

Advertisement Remove all ads

Solution

`Let I= int1/(x.logxlog(logx))dx`

Put log (log x) = t
Differentiating w.r.t. x, we get

`1/logx.1/xdx=dt`

`I=int1/tdt=log|t|+c`

`I=log|log(logx)|+c`

Concept: Evaluation of Definite Integrals by Substitution
  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×