(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.

(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 g has Fourier coefficient b n which can be expressed by a sum of two integrals,
b n = a b g 1 ( x ) d x + c d g 2 ( x ) d x
with a < c .
Enter the values
[ a , b , g 1 ( x ) ] = [ c , d , g 2 ( x ) ] =
Evaluate the integral and find
b n =
, for n 1 .

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