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ksaimouliBest ResponseYou've already chosen the best response.0
how to get ln2 from that
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
\[\int\limits_{\pi/6}^{\pi/2}\cot x dx\]
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
i know that cotx =ln sinx +c
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
The integral of cotx? Ok good c:
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
which will givw me ln1ln(1/2)
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
0ln(1)ln(2) gives me ln2 but the book gives ln 2
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
\[\large \ln (a)\ln(b)=\ln\left(\frac{a}{b}\right)\]
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
where is the 0 coming from? :o
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
Oh you were doing something fancy, hmm
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
dw:1361499527104:dw
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
Ok i see what you're doing. You just missed a negative in the middle.\[\large 0\ln(1/2) \qquad = \qquad 0\left(\ln1\ln2\right)\]See where you missed it?
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
dw:1361500220284:dw
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
how to do this @zepdrix
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
Write it like this, you might be able to see your `U substitution` easier.\[\large \int\limits (\ln x)^3 \left(\frac{1}{x}dx\right)\]
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
Hmm no that wouldn't do much for us.
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
Think about the derivative of natural log and also the derivative of 1/x. Maybe one of those pieces could be our u.
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
Does the derivative of either one show up in the integral?
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
if i take derivative of lnx then i get 1/x hmmm
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
So if we let \(\large u=\ln x\), taking the derivative of \(\large u\) gives us, \(\large du=\dfrac{1}{x}dx\) right?
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
Why is this in the biology section? lol
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
oopsss i thought this is in math when i loged in i did not notice that
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
So that would be the correctly substitution, because we have a suitable \(u\) and \(du\) that we can plug in. Understand how to plug them in?
 one year ago
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