Evaluating for orthogonal interval

Reference no: EM13129080

Show that the functions 1, x and cosx are orthogonal on the interval -(pi) < x < (pi) using properties of integrals of odd and even function when applicable. Given that:

f(x) = c_1 dot 1 + c_2(x) +c_3(cosx),

express c_2 in terms of integrals over the interval -(pi) < x < (pi) involving f(x) and the given functions.

Reference no: EM13129080

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