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Calculus check and help
Let R be the region bounded by the curves y=lnx^2 and y=x^24 to the right of the yaxis. A. Find the area of R. B. Find the folume geneated when R is rotated about the line y=4. C. Write, but do not evaluate the integral
asked by Anonymous on April 16, 2015 
calculus
how do you determine the convergence of : definite integral from 1> infinity of lnx/(x^3)? i set the problem as lim (R>infinity) of the integral of lnx/(x^3) from 1>R, but i can't compute the integral.
asked by mika on March 16, 2008 
Calculus
I don't know if I did these problems correctly. Can you check them? Use Integration by parts to solve problems. integral x^3(lnx)dx u=lnx dv=x^3dx du=1/x v=x^4/4 Answer:(x^3)(lnx)(x^4/16) integral xcosxdx x cosx 1 sinx 0 cosx
asked by Anonymous on November 18, 2007 
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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,
asked by Anonymous on October 18, 2011 
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)=? i used f'(x)=3x(D lnx) + D (3x) (lnx) f'(x)=3x (1/x) + 3 (lnx) so... f'(x)=3+3lnx or 3(1+lnx). unfortunately that isn't one
asked by ken on March 2, 2013 
calc
integral of 1 to e^4 dx/x(1+lnx) 1+lnx = a => dx/x = da dx/ x(1+lnx) = da/a int of da/a = In(a) =>int of dx/ x(1+lnx) = In(1+In(x)) + C from 1 to e^4 for int of dx/ x(1+lnx) = In(1+In(1))  In(1+In(e^4)) In(1+In(1)) 
asked by angela s on October 29, 2009 
Calculus
Evaluate the definite integral. dx/(x*sqrt(lnx)) from 1 to e^4 I'm having trouble figuring this out, I might be overthinking it. The way I've approached this is by using u substitution and letting u=lnx. I keep getting the wrong
asked by Confused on February 15, 2013 
calculus
(a) find the intervals on which f is incrs or decrs. (b) find the local min/max values of f. (c) find the intervals of concavity and the inflection points. f(x)=(lnx)/sqrtx I took the derivative and got 2lnx/2x^3/2 take the
asked by Riley on April 6, 2009 
Calc 2
a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 separate integrals? Like: Integral of x^2 and the other integral of 1/sqrt(1+(x^2)) b. Integral (x^7)/(ln(x^4))dx Do I use integration by parts for this? I put u=
asked by Bae on May 3, 2014 
math
find the value of the definite integral from 1 to 3 of (lnx/x) dx.
asked by Linda on April 22, 2015 
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?
asked by Alex on October 22, 2012