integral of pi * [(2-x^2)^2 - (2-x)^2]dx from 0 to 1 - Wolfram|Alpha

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Definite integral:

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Riemann sums:

link to /input/?i=%288+%CF%80%29%2F15-%CF%80%2F%282+n%5E2%29&lk=1&a=ClashPrefs_*Math-
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Indefinite integral:

link to /input/?i=%CF%80+%282+x%5E2-%285+x%5E3%29%2F3%2Bx%5E5%2F5%29&lk=1&a=ClashPrefs_*Math-
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