xd 2 y/dx 2 = (dy/dx) 2 i getting problem insolving ∫1/lnxdx

xd2y/dx2 = (dy/dx)2

i getting problem insolving ∫1/lnxdx


1 Answers

Badiuddin askIITians.ismu Expert
148 Points
13 years ago

Hi manoj jangra


you can put lnx=t


  dx=e^t dt

Now  t-1edt

            now expand the series et

     ∫(1+t+t2/!2+t3/!3+.....)/t dt

     Now intigrate

  =  lnt  +t +t2/2*!2+t3/3*!3.......

   =ln t +∑tk/k*!k      where k =1 to infinity


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