Monday, August 4, 2008

Summation of x^9 and x^10

I took sooooo long for this but

Here it is xD

1^9 + 2^9 + 3^9.........+ n^9 =

.(n)(n)(n+1)(n+1)(2n^6 + 6n^5 + n^4 -8n^3 + n^2 + 6n - 3)
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...........................................20

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1^10 + 2^10 + 3^10.........+ n^10 =

.(n)(n+1)(2n+1)(3n^8 + 12n^7 + 8n^6 - 18n^5 - 10n^4 + 24n^3 + 2n^2 - 15n + 5)
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..................................................................66

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