Problem 2E

a Evaluate the Riemann sum for f(x)=x2x0x2 With four subintervals, taking the sample points to be right endpoints. Explain, with the aid of a diagram, what the Riemann sum represents. b Use the definition of a definite integral with right endpoints to calculate the value of the integral 02(x2x)dx c Use the Fundamental Theorem to check your answer to part b. d Draw a diagram to explain the geometric meaning of the integral in part b.

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