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

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

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

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

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

ksaimouli
 one year ago
Best ResponseYou've already chosen the best response.00ln(1)ln(2) gives me ln2 but the book gives ln 2

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

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

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

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

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ok 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?

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

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

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

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

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

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

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

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

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

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

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So 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?
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