what is the integration of ln|sin x| dx...?

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2007-11-10 11:45:44 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

You can't compute this integral in terms of elementary
functions. It involves the dilogarithm function.

2007-11-10 12:56:07 · answer #1 · answered by steiner1745 7 · 0⤊ 0⤋

-x*ln(1-exp((2*I)*x))+x*ln(sin(x))+(1/2*I)*x^2+(1/2*I)*polylog(2, exp((2*I)*x))

i have no idea how to compute that manually.

2007-11-10 20:07:22 · answer #2 · answered by Anonymous · 0⤊ 0⤋