The rate of change of annual U.S. factory sales (in billions of dollars per year) of a certain class of goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12 2 + -1 t + 5.73 billion dollars per year where t is the number of years since 1990. Check: s(2)=4.21 (a) Use a definite integral to estimate the change in factory sales from 1990 through 1998. (Round your answer to three decimal places.) 2$ billion (b) Write the definite integral symbol for this limit of sums. s(t) (c) If factory sales were $41.3 billion in 1990, what were they in 1998? (Round your answer to three decimal places.) $ billion

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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.