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Fourier Series in Hindi Part 6|Fourier Series Example|Find Fourier Series of F(x)=x2 Interval -Pi to Pi

in this video I will discuss Find Fourier Series  of Function F(X)=x2 IN Interval -π TO π by Engineering Classes|GTU|VTU|PTU|HINDI|

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2. FOURIER COSINE SERIES A series is said to be FOURIER COSINE SERIES which contain Fourier arbitrary constant ao, an and bn=0 if fx should be even function and interval lie between –pi to pi.

2.1 EVEN FUNCTION
A function y = f(x) is said to be even, if f(-x) = f(x). The graph of the even function is always symmetrical about the y-axis.

3.FOURIER SINE SERIES A series is said to be FOURIER SINE SERIES which contain Fourier arbitrary constant bn and ao=an=0 if fx should be odd function and interval lie between –pi to pi.

ODD FUNCTION  A function y=f(x) is said to be odd, if f(-x) = – f(x). The graph of the odd function is always symmetrical about the origin. For example, the function f(x) = in [-1,1] is even as f(-x) = = f(x) and the function f(x) = x in [-1,1] is odd as f(-x) = -x = -f(x).

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