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Riemann sums: Estimate area

Consider a continuous function f(x) defined on the interval [0,a]. Things to try: 1. Change the function f(x). Examples: 1. f(x)=sin(x^2-1) 2. f(x)=1/(x+1) 3. f(x)=4*sqrt(1-x^2) 2. Change the value of a. 3. Drag Slider n to approximate the area.