Fourier Transform || of f(x)=a^2-x^2 || ∫(𝑺𝒊𝒏𝒙−𝒙𝑪𝒐𝒔𝒙)/𝒙^𝟑 𝒅𝒙= 𝝅/𝟒 || 18mat31 || Dr Prashant Patil

Описание: In this video, the infinite Fourier transform of f(x)=a^2-x^2 for |x| less than a & 0 For |x| greater than a is evaluated and using inverse Fourier transform ∫(𝑺𝒊𝒏𝒙−𝒙𝑪𝒐𝒔𝒙)/𝒙^𝟑 𝒅𝒙= 𝝅/𝟒 is proved.

#DrPrashantPatil#FourierTransforms#18MAT31_Module05#Lecture

For more videos and playlist of Engineering Mathematics go through the playlists

1)18MAT31- TRANSFORM CALCULUS, FOURIER SERIES AND NUMERICAL TECHNIQUES:
1) Laplace Transforms [18MAT31-Module 01]:
   • Laplace Transforms  
2) Inverse Laplace Transform [18MAT31-Module 01]:
   • Inverse Laplace Transform || Dr Prashant P...  
3) Fourier Series | 18mat31 | Module 02 | Dr Prashant Patil
   • Fourier Series | 18mat31 | Module 02 | Dr ...  
3) Fourier Transforms | 18mat31 | Module 03 | Dr Prashant Patil
   • Fourier Transforms | 18mat31 | Module 03 |...  
4) Numerical Methods for ODE | 18mat31 | Module 04 & 05 | Dr Prashant Patil
   • Numerical Methods for ODE | Module 04 & 05...  
5) Calculus of Variations | 18mat31 | Module 05 | Dr Prashant Patil
   • Calculus of Variations | 18mat31 | Module ...  

2)18MAT21- Advanced Calculus and Numerical Techniques:

1) Vector Calculus [18MAT21-Module 01]:
   • Vector Calculus || BMATE201  
2) Ordinary Differential Equation of Higher order[18MAT21-Module 02]:
   • Ordinary Differential Equation of Higher o...  
3) Partial Differential Equations [18MAT21-Module 03]:
   • Partial Differential Equations | 18matdip4...  
4) Infinite Series [18MAT21-Module 04]:
   • Infinite Series [18MAT21-Module 04]  

3) 18MAT41- Complex Analysis, Probability and Statistical Methods:
1) Conformal Transformations[18MAT41-Module 02]
   • Conformal Transformations || 18MAT41 || Dr...  
2) Complex Integration[18MAT41-Module 02]
   • Complex Integration || 18MAT41 ||  Dr Pras...  
3) Probability Distributions[18MAT41-Module 03]
   • Probability Distributions[18MAT41-Module 03]  
4) Joint Probability Distribution and Sampling [18MAT41-Module 05]
   • Joint Probability Distribution and Samplin...  

4)18MATDIP41- Additional Mathematics II:
1) Probability[18MATDIP41-Module05]
   • 18MATDIP41 | Additional Mathematics II | P...