t (hours) 4 7 12 15 R(t) (liters/hour) 6.5 6.2 5.9 5.6 A tank contains 50 liters of oil at time t = 4 hours. Oil is being pumped into the tank at a rate of R(t), where R(t) is measured in liters per hour, and t is measured in hours. Selected values of R(t) are given n the table above. Using a right Riemann sum with three subintervals and a data from the table, what s the approximation of the number of liters of oil that are in the tank at time t=15 hours? А. 64.9 В. 68.2 С. 114.9 1166

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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.