Friday

August 29, 2014

August 29, 2014

Posted by **angela s** on Thursday, October 29, 2009 at 7:09pm.

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)) - In(1+In(e^4)) = -In(5) =~ -1.60944

I am getting this as the wrong answer am i doing something wrong?

- calc -
**jim**, Thursday, October 29, 2009 at 8:35pmIt all looks OK to me, except from 1 to e^4 you should have your signs the other way around:

ln(1+ln(e^4)) - ln(1+In(1))

...

=~ +1.60944

**Related Questions**

L'Hopital's rule - Find lim x->1+ of [(1/(x-1))-(1/lnx)]. Here is my work...

calculus - sorry to ask a second question so soon, but i'm just not getting this...

Calculus 1 - Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36...

Calculus - Find the derivatives, dy/dx for the following functions. a. x^2y^4 = ...

College Calc - Problem: y=sqrtx ^1/x. Find DY/DX. ln(f(x))=lnx^1/2x or lnx to ...

math - how would you solve for y in this problem: ln(y-1)-ln2 = x +lnx ln(y-1)-...

calc - f(x)=3x^ln(x), find f '(9). i can't find the answer :( I got 3x^lnx(((ln(...

Math - Find the coordinates of the turning point and determine wether it is ...

Calculus (improper integrals) - the integral from 0 to lnx of lnx/(x^1/2) thanks...

calculus - (a) find the intervals on which f is incrs or decrs. (b) find the ...