# Fourier Series Lecture #17 Fourier Series Examples And Solutions for F(x)= XSINX in Interval 0 to Pi

## Fourier Series Lecture #17 Fourier Series Examples And Solutions for F(x)= XSINX in Interval 0 to Pi

Hello, student welcomes to JK SMART CLASSES, I will be discuss Engineering math 3 Chapter Fourier series in Hindi Part 17. Now in this Fourier Series lecture video, I will briefly explain Fourier Series Lecture #17 Fourier Series Examples And Solutions for F(x)= XSINX in Interval 0 to Pi|PTU |GTU|VTU for Engineering classes online B.tech and m.tech student whose study in various universities like Punjab Technical University (PTU), Gujarat Technological University (GTU), Visvesvaraya Technological University (vtu), Rajasthan Technical University (RTU), Kurukshetra University (KU) and Mumbai university.

I will briefly explain

2.FOURIER COSINE SERIES

A series 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).

for exam point of view Fourier series chapter for engineering mathematics 3 in very important chapter for pass point of view as well as for getting good marks in Engg mathematics 3.so student please more focus on Fourier series in Hindi chapter for success in exam

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