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ksaimouli
 3 years ago
simplyfy
ksaimouli
 3 years ago
simplyfy

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

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

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

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

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

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

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

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

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

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

zepdrix
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1361500220284:dw

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

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

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

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

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

ksaimouli
 3 years 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
 3 years 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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