Calculate the left sum of f(x) = cos2x on the interval [0, 2pi] using 8 subintervals. Then calculate the integral to check whether the sum is an overestimate or underestimate by comparing it to the actual value for the area under the function. If I could see all work to solve this problem that would be great
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.
Calculate the left sum of f(x) = cos2x on the interval [0, 2pi] using 8 subintervals. Then calculate the integral to check whether the sum is an overestimate or underestimate by comparing it to the actual value for the area under the function.
If I could see all work to solve this problem that would be great.
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