A business forecasts that the demand xx (in units per year) for a product over the next 6 years is modeled by x=700(50+te−0.07t),0≤t≤6x=700(50+te-0.07t),0≤t≤6 Find the average annual demand over the next 6-year period. You may use technology to evaluate the integral. Round your final answer to two decimal places.
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.
A business forecasts that the demand xx (in units per year) for a product over the next 6 years is modeled by
x=700(50+te−0.07t),0≤t≤6x=700(50+te-0.07t),0≤t≤6
Find the average annual demand over the next 6-year period.
You may use technology to evaluate the integral. Round your final answer to two decimal places.
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