Riemann Sum
Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.
Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
A student is speeding down Randall Road when she sees a skunk in the middle of the road. She immediately applies the brakes and starts to slow down. The table below shows the velocity of the car from its “black box” in various time intervals.
Find a right Riemann sum on the interval [0, 10].
![Time since brakes applied (sec)
Speed (ft/sec)
3
9.
10
100
80
50
25
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc679d440-b851-4409-a10c-50d0ef0fca0a%2F7ac70b21-9be4-4f77-9043-d98cde3c3ebb%2F36xlqiu_processed.png&w=3840&q=75)
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