(a) Express the following limit of the Riemann 's sum as a definite integral and then evaluate the integral lim n-0 n

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A: As  per the guideline, I am supposed to solve only three sub- part of the question.

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A: (a) The time taken will be 19.27 minutes.

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A: As per our guidelines we only solve one question and rest of the question will be reposted.