Problem 8. We have learned this semester that for a given function f(x) defined on [0, L] that we can find both a sine series and a cosine series that sum to the function (provided that f (0) = f(L) = 0 to make sure both series converge to the function at the endpoints). For L = 3 write out the form of both series and just set up the integrals that give the coefficients of the series terms for the following function: f (x) = 2(3 - 20) for 0