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I do not use the Wolfram Language at Wolfram Alpha since the syntax is a little different and I have access to Wolfram Mathematica which I prefer to Wolfram Alpha. If you have Wolfram Mathematica, then you use one of the Wolfram language commands, called FourierCoefficient to generate $a_n$ and $b_n$ as follows. (You can try these commands at Wolfram Alpha, ...