SOLUTION: Which definite integral approximation formula is the integral from a to b of f of x, dx is approximately equal to the product of the quantity b minus a over n and the quantity y su

Algebra ->  Finance -> SOLUTION: Which definite integral approximation formula is the integral from a to b of f of x, dx is approximately equal to the product of the quantity b minus a over n and the quantity y su      Log On


   



Question 1031346: Which definite integral approximation formula is the integral from a to b of f of x, dx is approximately equal to the product of the quantity b minus a over n and the quantity y sub 1 plus y sub 2 plus y sub 3 plus dot dot dot plus y sub n minus 1 plus y sub n?
Left rectangles
Right rectangles
Average rate of change
Trapezoidal rule

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Right rectangles
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The width of each rectangle would be %28b-a%29%2Fn, while the height of the rectangle would be given by f%28x%5Bk%5D%29+=+y%5Bk%5D, where 1+%3C=+k+%3C=+n, which corresponds to the right endpoint of a sub-interval. The approximation would be
%28b-a%29%2Fn(y%5B1%5D%2By%5B2%5D%2By%5B3%5D+...+y%5Bn-1%5D%2B+y%5Bn%5D).