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Use the Left and Right Riemann Sums with 100 rectangles to estimate the (signed) area under...

Use the Left and Right Riemann Sums with 100 rectangles to estimate the (signed) area under the curve of y=−2x+2 on the interval [0,50]. Write your answer using the sigma notation.

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Answer #1

Given curve is y=-2x+2 on the interval [0,50]

Number of rectangles is 100, that is interval [0,50] is divided into 100 subintervals and length of each sub-interval is

Thus , the sub-intervals are

Thus area under given curve using left Riemann sums is

Area under given curve using Right  Riemann sums is

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