An oil leak from an uncapped well is polluting a bay at a rate of ƒ(t) = 125e-0.025t gallons per year. Use an improper integral to find the total amount of oil that will enter the bay, assuming the well is never capped.
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.
An oil leak from an uncapped well is polluting a bay at a rate of
ƒ(t) = 125e-0.025t gallons per year. Use an improper
amount of oil that will enter the bay, assuming the well is never capped.
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