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manoj jangra Grade: 12
        

xd2y/dx2 = (dy/dx)2


i getting problem insolving ∫1/lnxdx

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Hi manoj jangra


∫1/lnxdx


you can put lnx=t


        x=et


  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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Regards,

Askiitians Experts

Badiuddin

7 years ago
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