The discussion revolves around applying Fourier Transform techniques to a specific function defined piecewise, where f(x) is zero outside the interval [-1, 1] and equals x² within that interval. Participants are exploring methods to evaluate the integral related to the Fourier Transform of this function.
The conversation includes attempts to validate the output from Wolfram Alpha, with some participants expressing confidence in the approach suggested. However, there is no explicit consensus on the final answer, and the discussion remains open to further verification and exploration.
Participants are working within the constraints of homework rules, which may limit the extent of guidance provided. The original poster expresses uncertainty about the next steps after identifying the integral related to the Fourier Transform.
vela said:Try applying Parseval's theorem.
vela said:That's what Wolfram Alpha got.
http://www.wolframalpha.com/input/?...x+Cos[x])^2/x^6,+{x,+-Infinity,++++Infinity}]