Question

what is integration of 1/logx

Answer 1

let log x=t , x=e^t

when we diff...it..

1/x dx=dt


integration of 1/logx dx

integration of e^t/t dt = infinity or E(i) x+ c


E(i) logx+c

it is your answer.....




integration of e^t/t dt

=e^t/t( 1+1/x+2/x^2+6/x^3+24/x^4+......)