#humps of sin(x^2)

5 messages · Page 1 of 1 (latest)

old jewel
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This is the graph of sin(x^2). How can I prove (or is it even true that), for example, the area of 1 is larger than the area of 2? (or just that an 'earlier' hump has larger area than a later one?)
Is it generally true that horizontally compressed graphs have less area under them (even if the horizontal compression doesn't occur by a constant factor)?
An intuitive explanation works fine for me

sinx2.png
sage cometBOT
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old jewel
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nevermind. the period of 2 is upper bounded by the period at the end of 1.

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+close