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.
The table gives the values of a function obtained from an
experiment. Use them to estimate ∫93f(x) dx using three
equal subintervals with (a) right endpoints, (b) left end -
points, and (c) midpoints. If the function is known to be an
increasing function, can you say whether your estimates are
less than or greater than the exact value of the
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