(b) The Fourier Sine series of g has Fourier coefficient bn which can be expressed by a sum of two integrals, bn = ∫abg1(x)dx + ∫cdg2(x)dx with a < c. Enter the values [a, b, g1(x)] = [c, d, g2(x)] = Evaluate the integral and find bn = , for n ≥ 1.
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(b) The Fourier Sine series of has Fourier coefficient which can be expressed by a sum of two integrals,