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.
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
Get Answers For Free
Most questions answered within 1 hours.