integrate (n*(n+1))^2*(30*n^10 +150*n^9 +125*n^8 -400*n^7 -326*n^6 +1052*n^5 +367*n^4 -1786*n^3 +202*n^2 +1382*n -691) / 420 from -1 to 0 - Wolfram|Alpha

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Definite integral:

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Riemann sums:

link to /input/?i=1%2F12+%28-1%2B1%2Fm%5E14%29&lk=1&a=ClashPrefs_*Math-
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Indefinite integral:

link to /input/?i=1%2F420+%28-%28691+n%5E3%29%2F3%2B455+n%5E5-429+n%5E7%2B%28715+n%5E9%29%2F3-91+n%5E11%2B35+n%5E13%2B15+n%5E14%2B2+n%5E15%29&lk=1&a=ClashPrefs_*Math-
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