GiventheFouriersineseriesof(x) x
Chapter 5, Problem 5.5(choose chapter or problem)
GiventheFouriersineseriesof(x) x on(0,l).Assumethattheseries can be integrated term by term, a fact that will be shown later. (a) FindtheFouriercosineseriesofthefunctionx2/2.Findtheconstant of integration that will be the rst term in the cosine series.b) Then by setting x=0 in your result, nd the sum of the series n=1 (1)n+1 n2
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