rectángulos se expresa con la notación de sumatoria (sigma):
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∑i=1ni2n3=∑i=1ni2n21n=∑i=1n(in)21nsum from i equals 1 to n of the fraction with numerator i squared and denominator n cubed end-fraction equals sum from i equals 1 to n of the fraction with numerator i squared and denominator n squared end-fraction 1 over n end-fraction equals sum from i equals 1 to n of open paren i over n end-fraction close paren squared 1 over n end-fraction Si , entonces .La función es Convertir a Integral: I'll follow the search plan and open relevant links
Sn=6n⋅(n)+18n2⋅[n(n+1)2]cap S sub n equals 6 over n end-fraction center dot open paren n close paren plus the fraction with numerator 18 and denominator n squared end-fraction center dot open bracket the fraction with numerator n open paren n plus 1 close paren and denominator 2 end-fraction close bracket Simplificamos algebraicamente cada sección: