Solving Fourier Transform Problems with Wolfram Alpha

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The discussion focuses on solving Fourier Transform problems using Wolfram Alpha, specifically for the function defined as f(x) = 0 for |x| > 1 and f(x) = x² for |x| < 1. Participants suggest applying Parseval's theorem to tackle the integral. One user confirms that Wolfram Alpha provides an answer of π/5 for the integral calculation. The conversation highlights the utility of Wolfram Alpha for complex mathematical problems and appreciates the collaborative effort in finding solutions.
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[PLAIN]http://img716.imageshack.us/img716/3663/semttulont.png

f(x) = 0 (|x| > 1)
= x² (|x| < 1)
I know that thing on integral is [F(x)]^2, but I have no clue what to do now.
 
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Try applying Parseval's theorem.
 
vela said:
Try applying Parseval's theorem.

Thanks, that is the right way.
Could you check the answer for me? \frac{\pi}{5}
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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