Fourier Series: The Integrals of Periodic Functions

1. Introduction To Fourier Series
2. Integration of Periodic Function
3. Integration of Functions over a single period
4. Integral of sin nx cos mx
5. Integral of cos mx sin nx
6. integral of sin nx sin mx
7. How To integrate Fourier Series
8. How To solve for Integrals of Periodic Functions

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#fourierseries
#periodicfunction
#integration
#integral
#ema382
#engineeringmathematics

[PesGamer-fc]

LIFE SAVER, Thank you, keep posting more videos

[preciouschidi]

Ehmu and Ehni. Typical nigeria tongue😂😂
Thanks sir avitech for your videos. Very explanatory and understandable.

[MaziVictor-wi]

Nice one there comrade. God strengthen you to empowee us with more videos. This was very helpful.

[oshoridwanullah]

This is really explanatory, thank you.

[sadiqyunusa]

Kindly solve this Fourier series for me :
Find the Fourier series of the functions below :

F(s) = 1 -pi less than or equal to x less than or equal to 0, X 0 less than or equal to x less than or equal to pi}

When it has a period of 2pi


F(x) = 0 0 less than or equal to x less than or equal to pi, pi less than or equal to x less than or equal to 2pi}

Over a period of 2pi

[imranjaffar]

Very clear explanation, I really like it

[boluwatifeharveydada]

Thank you so much, youve been a blessing

[japhethjoshuaLamiri]

thanks so much, you're of great help to me.

[gameliadeti]

Meaning in example 4, you were trying to use integration by parts

[derrickerrick]

this question isnt from this video but what if you have range as from negative a half pi to positive a half pi, , will the period be 2pi?

[olajumokeoyejide]

Please where does the 1/n comes from during the integration .. can’t figure out where it comes from .. you mentioned that you integrate Sin nx = cos nx … where does the 1/n comes from ..? Thanks for your responds

[derrickerrick]

what if you are told to find the fouriersExample 7: Find the Fourier Coefficients for, e^-x2

[enweremfavour]

I've finally found my ELE342 plug 💯💯

[AdeolaDaniel-gc]

Welldone bruh... May i request how u got -1/n when u solved for the integral of sin nxdx...? I agree the integral of sin x is -cos x but how it became 1/n isnt clear

[JudahStanley-uyed]

I don't know if it's my phone o but I find it difficult to see what you're writing. It's not clear 😢

[derrickerrick]

not clear, , at minute, 7:10, , where you were solving for sin^2 nx