Calculus
posted by RJ .
How do we integrate 1/lnx.

Don't waste a lot of time trying to figure this one out.
The integral is a specially defined function, li x.
See
http://en.wikipedia.org/wiki/Logarithmic_integral_function
Respond to this Question
Similar Questions

Integral calculus
Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^24x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx v= e^x dv= e^x dx 
calculus
1) Integrate Cos^n(x) dx 2) Integrate e^(ax)Sinbx dx 3) Integrate (5xCos3x) dx I Will be happy to critique your thinking on these. 1) Derive a recursive relation. 2) Simplest by replacing sin(bx) by Exp[i b x] and taking imaginary … 
CALC
i still need help on this...integrate (2)/(xln^4(x) dx...should i be using substitution ...if yes then wut should i substitute? 
integration
How do you integrate ; ln(lnx) and x/lnx 
L'Hopital's rule
Find lim x>1+ of [(1/(x1))(1/lnx)]. Here is my work... =(lnx(x1)) / ((x1)(lnx)) =(lnx1) / (lnx+ (x+1)/x) This becomes(1/x) / ((1/x)+(1/x^2)) which becomes 1/ (1/x^2) This equals 1/2. I understand the answer has to be 1/2, … 
Calculus 1
Find the derivative of y with respect to x. y=(x^6/6)(lnx)(x^6/36) So far this is what I've gotten: y=(x^6/6)(lnx)(x^6/36) y=(1/6)x^6(lnx)(1/36)x^6 y'=(1/6)x^5(1/x)+lnx(x^5)(1/6)x^5 What do I do now? 
calculus
sorry to ask a second question so soon, but i'm just not getting this one. if f(x)= 3x lnx, then f'(x)=? 
Calculus
Find the derivatives, dy/dx for the following functions. a. x^2y^4 = lnx + 3y b. y = ln(2x^2 + 1) c. y = ln(ãx) d. y = lnx/x e. y = x^2 lnx f. y ß log_2(3x) 
Calculus
what is the limit as h approaches 0 of ((x+h)^pix^pi)/h? 
math: precalculus
Let u=lnx and v=lny. Write the expression ln3√x/2y in terms of u and v. For example, lnx^3y=lnx^3+lny=3lnx +lny= 3u+v.