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Initial problems

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Solve the initial problems.

Express the given limit as a definite integral over the indicated interval [a, b]. Assume that [] denotes the i th subinterval of a subdivision of [a, b] into n subintervals, all with the same lengths x = (b - a) / n, and that  is the midpoint of the i th subinterval.

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Solution Summary

This provides examples of solving initial problems and expressing limits as integrals.

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