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_{n}

^{μ}and b

_{n}

^{μ}, by integration one can make new coefficients A

_{n}

^{μ},B

_{n}

^{μ}which include constants of integration.

My question how can I verify that :

A

_{n}

^{μ}cos nτ + B

_{n}

^{μ}sin nτ= -i/2 ((B

_{n}

^{μ}) -A

_{n}

^{μ}i) e

^{inτ}- (B

_{n}

^{μ}-iA

_{n}

^{μ}) e

^{-inτ}

I assume this is the complex form of fourier series, but anyway

thanks for any clarifications.