21. Valeria is playing with her accordion. The length of the accordion A(t) (in cm), after she starts playing as a function of time t (in seconds) can be modeled by a sinusoidal expression of the form A(t) =a•cos (b-t) +d. At t=0, when she starts playing, the accordion is 15 cm long, which is the shortest it gets. 1.5 seconds later the accordion is at its average length of 22 cm. Find A(t). *

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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.