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

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mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1337620249282:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
solve it without calculator !!
 2 years ago

akamushi Group TitleBest ResponseYou've already chosen the best response.0
integral 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
 2 years ago

akamushi Group TitleBest ResponseYou've already chosen the best response.0
then just plug in your interval
 2 years ago

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

akamushi Group TitleBest ResponseYou've already chosen the best response.0
this 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.
 2 years ago

akamushi Group TitleBest ResponseYou've already chosen the best response.0
i am sure of my anwser.
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
ok 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.
 2 years ago

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

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

experimentX Group TitleBest ResponseYou've already chosen the best response.0
is it approximate value??
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
http://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 !!
 2 years ago

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

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

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

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1337635891842:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1337636241613:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1337636756218:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1337636884325:dw
 2 years ago
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