How To Find The Half Range Sine Series Of A Function In Terms of L

Описание: In engineering mathematics, a half-range Fourier series is a Fourier series defined on an interval [0,L] instead of the more common [-L,L], with the implication that the analyzed function f(x) in [0,L] should be extended [-L,0] as either an even f(-x)=f(x) or odd function f(-x)=-f(x). This allows the expansion of the function in a series solely of sines (odd) or cosines (even).

Fourier series is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series. By expressing a function as a sum of sines and cosines, many problems involving the function become easier to analyze because trigonometric functions are well understood

A half range sine series contains sine terms only, and we only have to solve for one of the Fourier series coefficients responsible for it.

In this video, you’ll learn;
1. How to find Fourier series coefficients for Odd function
2. How to find the odd extension of a function
3. How to find the sine series of a function
4. How to integrate very fast
5. How to use integration by parts
6. How to find the Fourier series of a function with arbitrary period
7. How to find the half range sine series of a function defined outside of 2 pie
8. How to find the half range expansion of a function


#fourierseries
#fourier
#education
#maths
#integral
#engineering
#systems
#signalprocessing
#signal
#electronic
#exam
#even