Half range Fourier cosine series of sinx in (0, π) || 18mat31 || Dr Prashant Patil
In this video, the Fourier half range cosine series of f(x)=sin x in the interval (0,π) is explained. #DrPrashantPatil#FourierSeries#18MAT31_Module02#Lecture27 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 ... 4) Numerical Methods for First Order First Degree ODE | 18mat31 | Module 04 | Dr Prashant Patil • Numerical Methods for ODE | Module 04 & 05... 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...

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![Fourier series of xCosx in [-π, π] || 18mat31 || Dr Prashant Patil](https://i.ytimg.com/vi/VNMGzhXcD3A/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLCgddF7O3X902jStZMHDSo42E_jLA)
Fourier series of xCosx in [-π, π] || 18mat31 || Dr Prashant Patil

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Expand f(x)=x sin〖x 〗 as fourier series in (-π,π). Deduce that 1/1.3-1/3.5+1/5.7-1/7.9……..=(π-2)/4

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