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chloeholt123
chloeholt123
10.03.2020 • 
Mathematics

Consider the function f(x)=−x24+2f(x)=−x24+2. In this problem you will calculate ∫20(−x24+2)dx∫02(−x24+2)dx by using the definition ∫baf(x)dx=limn→[infinity][∑i=1nf(xi)Δx] ∫abf(x)dx=limn→[infinity][∑i=1nf(xi)Δx] The summation inside the brackets is RnRn which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. Calculate RnRn for f(x)=−x24+2f(x)=−x24+2 on the interval [0,2][0,2] and write your answer as a function of nn without any summation signs.

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