## Fourier Series in Hindi Part 4 How To Compute Euler’s Formula of Fourier Series for Engineering Classes

In This Video Lecture,We Discuss How To Compute Euler’s Formulae of Fourier Series in Hindi will help Engineering and Basic Science students to understand the following topic of Engineering-Mathematics 3.

2.FOURIER COSINE SERIES

3.FOURIER SINE SERIES

2.FOURIER COSINE SERIES

3.FOURIER SINE SERIES

**1. EULER’S FORMULAS** 0:50 Fourier series in developed by JAMES EULER’S so Fourier series is also known as Euler’s formula. I explain all formulas in this video and also discuss the different cases with a different interval from 0 to 2 pi And –pi to pi.

CASE 1- IF C=0 then ao, an, bn is arbitrary constant all are present and how to find it are well explain and in video and limit become 0 to 2 pi.

**2.FOURIER COSINE SERIES** 6:46

A series is said to be FOURIER COSINE SERIES which contain Fourier arbitrary constant ao, an and bn=0, if f(x) 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 **8:50

A series is said to be FOURIER SINE SERIES which contain Fourier arbitrary constant bn and ao=an=0 if f(x) 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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