Question: Write integral subscript short dash 2 end subscript superscript 3 left parenthesis 3 x squared minus 1 right parenthesis d x as the limit of
Write integral subscript short dash 2 end subscript superscript 3 left parenthesis 3 x squared minus 1 right parenthesis d x as the limit of a Riemann sum and evaluate. a.) limit as n rightwards arrow infinity space of sum from k equals 1 to n of open parentheses 11 plus fraction numerator 75 k squared over denominator n squared end fraction close parentheses open parentheses 5 over n close parentheses equals 180 b.) limit as n rightwards arrow infinity space of sum from k equals 1 to n of open parentheses 11 plus fraction numerator 60 k over denominator n end fraction plus fraction numerator 75 k squared over denominator n squared end fraction close parentheses open parentheses 5 over n close parentheses equals 330 c.) limit as n rightwards arrow infinity space of sum from k equals 1 to n of open parentheses fraction numerator 75 k squared over denominator n squared end fraction minus 1 close parentheses open parentheses 5 over n close parentheses equals 120 d.) limit as n rightwards arrow infinity space of sum from k equals 1 to n of open parentheses 11 minus fraction numerator 60 k over denominator n end fraction plus fraction numerator 75 k squared over denominator n squared end fraction close parentheses open parentheses 5 over n close parentheses equals 30
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