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Mathematics, 05.07.2020 14:01 bigmouth804

Consider the function f(x)=−x24−6. In this problem you will calculate ∫40(−x24−6)dx by using the definition ∫baf(x)dx=limn→[infinity][∑i=1nf(xi )Δx] The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. Calculate Rn for f(x)=−x24−6 on the interval [0,4] and write your answer as a function of n without any summation signs. You will need the summation formulas from your textbook.

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