The Riemann integral measures the area under a curve and is defined as: Area = S(x)dr - lim S(z.)Ar, where N is the number of intervals used to approximate the area. (a) Draw a diagram of the Riemann integral of the function f(r) = 3 between a=0 and b =4. (b) Using this definition, show that 3dr = 12. (Hint: What is the relation- ship between Ar and N?)

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