In this article, you will get the answer of Find the Fourier transform of
𝑓(𝑥) = 1 , |𝑥| ≤ 1
0 , |𝑥| > 1
Hence evaluate \int_{0}^{\infty }\frac{sinx}{x}dx from Model question paper 2 of Transform Calculus, Fourier Series and Numerical Techniques[M3] or 21MAT31.
5.a) Find the Fourier transform of
𝑓(𝑥) = 1 , |𝑥| ≤ 1
0 , |𝑥| > 1
Hence evaluate \int_{0}^{\infty }\frac{sinx}{x}dx
Answer: