Преобразование Фурье. Найдите косинусное и синусное преобразование Фурье функции f(x) = x^(n-1).

FOURIER TRANSFORM LINKS Find the fourier transform of f(x) = 1 if |x| lesser 1 : 0 if |x| greater 1. Evaluate ∫ sin x/x dx - https://youtu.be/dowjPx8Ckv0 Find the fourier transform of f(x) = 1-x^2 |x| lesser equal to1 : 0 if |x| greater 1- https://youtu.be/WCr1t4zOLEA Find the fourier sine transform of f(x) = e^-|x|. Show that ∫ (x sin mx)/1+x^2 dx = (Πe^-m)/2- https://youtu.be/1Sl5ffbVBSU Find the complex fourier transform of f(x) = 1 if |x| greater=a: 0 if |x| lesser a. Evaluate ∫ sin x/x dx- https://youtu.be/44pI9phgn-s Find the fourier transform of f(x) = x if |x| lesser α : 0 if |x| greater α.-https://youtu.be/s8EI_je5ewk Find the fourier sine transform of f(x) =e^(-ax)/x - https://youtu.be/jBXkuWI0ytI Find the fourier cosine transform of f(x) =e^(x^2) - https://youtu.be/C94U76oL05o Find the fourier cosine transform of f(x) = x (x=0 to 1) : (2-x) (x= 1 to 2) : 0 (x greater 0) - https://youtu.be/KS0AUbRrxzw Find the fourier cosine transform of f(x) = 1/(1+x^2) . Hence find the sine transform of g(x) = x/(1+x^2) - https://youtu.be/RTqxEQ_kgm4 Fourier transform: Show that Fs(xf(x)) = - d/ds[Fc(S)] and Fc(xf(x)) = d/ds[Fs(S)] - https://youtu.be/NLRQV_DK2Uw Find the fourier cosine and sine transform of f(x) = xe^(-ax) - https://youtu.be/QDspSfK3NVk Find the fourier cosine and sine transform of f(x) = x^(n-1) - https://youtu.be/RdSU01qtZBw Find inverse finite fourier sine transform of f(x) = (1-cosnП)/n^2П^2 - https://youtu.be/-rzIWXVo8Wc Fourier transform - Parsevals identity - prove that ∫ dt/(a^2+t^2)(b^2+t^2) - П/2ab(a+b) - https://youtu.be/WWwjFNnR5S8 Fourier transform - Parsevals identity - prove that ∫t^2dt/(t^2+1)^2 = П/4 - https://youtu.be/aEBc2YYGoXA Fourier transform - Boundary value analysis - Solve əu/ət = ə^2u/əx^2( α^2) - https://youtu.be/qLqnZ9jNN5A Fourier Transform: Boundary value Analysis: Solve Әu/Әt = Ә^2u/Әx^2 - https://youtu.be/IsNKhWeaAQk Using Finite Fourier Transform solve Әu/Әt = Ә^2u/Әx^2 - https://youtu.be/6kNwqQEvIwI Fourier Transform: Boundary value Analysis: Solve Әu/Әt = Ә^2u/Әx^2- https://youtu.be/WHmTv7X3FgQ Fourier Transform: Boundary value Analysis: Solve Әu/Әt = Ә^2u/Әx^2 - https://youtu.be/IxjYiTLiQIo Find the sine and cosine transform of f(x) =X 0 lesser x lesser 2 : 0 elsewhere - https://youtu.be/zrN-BNCx108 Find the Fourier Transform of f(x) = x^2 |x| lesser = a : 0 |x| greater a - https://youtu.be/IjmwLF98msA Find the Fourier Transform of f(x) = e^(-ax^2) - https://youtu.be/dKaGQXPALjw Find the Fourier Sine Transform of f(x) = 1/x - https://youtu.be/cj6pxlJ7iVw Find the Fourier Sine Transform of f(x) = e^(-3x)+e^(-4x) - https://youtu.be/czY3QXZeciM Find the Fourier Sine Transform of f(x) = sin x x=0 to a : 0 x greater a - https://youtu.be/quBxzRHIsok Find the Fourier Cosine Transform of f(x) = e^(-3x)+e^(-4x) - https://youtu.be/KOIPSrGb8XM Convolution Theorem for Fourier Transform with proof -https://youtu.be/Mi7oPkwj5Bk