Lebesgue Integral Animation

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A video of the Lebesgue integral in action. Notice the Lebesgue integral slices horizontally and each slice narrows as the upper limit increases. This is in contrast to the Riemann integral that slices the area under the curve vertically for a set interval. When I first came to understand the Lebesgue integral I thought it would make for an interesting animation, please enjoy.
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how to make the amimation?use what software to make it?

LuogengHua-yx
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Why am I the first to commend you for this graphic?

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