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mahmit2012
 3 years ago
Q6
Find out the integral of log(sinx) in interval (0,pi/2].
mahmit2012
 3 years ago
Q6 Find out the integral of log(sinx) in interval (0,pi/2].

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mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1337620249282:dw

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1solve it without calculator !!

akamushi
 3 years ago
Best ResponseYou've already chosen the best response.0integral log(sin(x)) dx = 1/2 i (x^2+Li_2(e^(2 i x)))x log(1e^(2 i x))+x log(sin(x))+constant

akamushi
 3 years ago
Best ResponseYou've already chosen the best response.0then just plug in your interval

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1are you sure? Ok check it out and then compare with your number.I think that is not true.

akamushi
 3 years ago
Best ResponseYou've already chosen the best response.0this is a difficult integrand, perhaps i don't remember a short cut. i doubt an instructor would ask this question with out one, especially at lower level calculus.

akamushi
 3 years ago
Best ResponseYou've already chosen the best response.0i am sure of my anwser.

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1ok please write your formula in a blank I check it out myself and will show you it is not correct.because there is no close function for this integral.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0i presume you are not looking for numerical methods

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1yes especially for this interval we have an interesting way to find it out at regular calculus.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0is it approximate value??

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=cos+x+plot+from+0+to+pi%2F2 http://www.wolframalpha.com/input/?i=cos+x+plot+from+0+to+pi%2F2 they both seem similar !!

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1no there is an exact value.i will show you next time.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0something interesting about http://www.wolframalpha.com/input/?i=integrate+x+cotx+from+0+to+pi%2F2

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0this seems to give the same result http://www.wolframalpha.com/input/?i=integrate+x^2+cosec^2x%2F2+from+0+to+pi%2F2

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1337635891842:dw

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1337636241613:dw

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1337636756218:dw

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1337636884325:dw
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