10 25 37 46 60 Time (sec) Rate (gal/sec) 500 400 350 280 200 180 (Calculator Permitted) The table above gives the values for the rate (in gal/sec) at which water flowed into a lake, with readings taken at specific times. A right Riemann sum, with five subintervals indicated by the date in the table, is used to estimate the total amount of water that flowed into the lake during the time period 0sis60. What is this estimate? (C) 16,930 gal (D) 18,725 gal (E) 20,520 gal (A) 1,910 gal (B) 14,100 gal

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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.