- #1
maladroit
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Homework Statement
Find the area bounded between the two curves
y=34ln(x) and y=xln(x)
Homework Equations
Integration by parts: [tex]\int[/tex]udv= uv-[tex]\int[/tex]vdu
The Attempt at a Solution
First I found the intersection points of the two equation to set the upper and lower bounds. The lower bound is 0 and the upper bound is 34. My integrand is as follows--
[tex]\int[/tex]34ln(x)-xln(x) with the limits of integration being from 0 to 34.
I evaluated the integral using integration by parts, and eventually came up with the following solution...
[tex]\int[/tex]34ln(x)-xln(x)= 34xln(x)-34x-(x[tex]^{2}[/tex]ln(x)/2) -(1/4)x[tex]^{2}[/tex]
and evaluated from 0 to 34, the answer is 1156ln(34)-1156-(1156ln(34)/2)+289
I am not quite sure where my mistake is being made. I verified my answer using a graphing calculator (although that does not absolutely make my answer correct), so if anyone sees where I am making my mistake I would greatly appreciate the help!