n 6. (a) Use induction to prove the summation formula ²: x² dx. i=1 (b) Show that the function x → x² is Riemann integrable on the interval [0, 1] and compute 1² 2² Hint: Use the sequential criterion, where Pn E n(n + 1)(2n + 1) 6 = {0, 1/2 , /1/2 › n'n' ,1}.

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