# Fourier Series Odd function

mbud

## Homework Statement

Determine a general Fourier series representation for f(x) = x^3 -1<x<1

## The Attempt at a Solution

May seem like a stupid Q, but would i have to calculate a0, an, bn or since i know that x^3 is an odd function, could jump straight into calculating the Fourier sine series for odd functions. Would that give me a general representation?

Last edited:

vishal007win
$$\int_{-1}^1 \cos(x) x^3 dx = \int_{-1}^0 \cos(x) x^3 dx + \int_0^1 \cos(x) x^3 dx = \int_0^1 \cos(-x) (-x)^3 dx + \int_0^1 \cos(x) x^3 dx = 0$$