Answer to Question #6949 in Calculus for arindam

Question #6949
integration of x/(sin x + cos x) ?????
1
Expert's answer
2012-02-28T08:34:39-0500
Answer is
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
where
i: imaginary unit
tanh-1: inverse hyperbolic tangent
log(x): natural logarithm
Lin(x): polylogarithm function

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