Question

find the Fourier constant bn for xsinx in (-π,π)?

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Answer 1

Answer:

You can use the concept of even

and odd functions to solve this problem.

Since the interval is (- π,π),in order to check whether the given function is even or odd conditions are given below.

If f(- x) = f(x) , the given function is even.

If f(- x)= - f(x) , the given function is odd.

Whenever the given function is even,you need to find a 0 and an while bn=0 to even functions.

Whenever the given function is odd,you need to find bn while a 0,an = 0 for odd functions.

Formulae for calculating a 0,an,bn are given below.

a 0 = (2÷π)integral(f(x)d x) within the limits - π to π

an = (2÷π) integral (f(x)cos nx d x) within the limits - π to π

bn = (2÷π) integral (f(x)sin nx d x) within the limits - π to π

Hope it helps♥️

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