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1. (25 points) Consider the integral xdx. (a). (10 points) Evaluate the integral using the midpoint rule over the whole interval. (b). (10 points)

1. (25 points) Consider the integral ( int_{0}^{1} x^{2} d x ). (a). (10 points) Evaluate the integral using the midpoint 

1. (25 points) Consider the integral xdx. (a). (10 points) Evaluate the integral using the midpoint rule over the whole interval. (b). (10 points) Evaluate the integral using the composite midpoint rule with grid size h = 0.5.

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