Write down a right riemann sum that approximates integral

Reference no: EM131012364

1. Find the following limit of right Riemann sums by evaluating the definite integral that it represents:

lim_n→∞ _k=1Σⁿ (1 + (4k/n))(4/n)

2. Write down a right Riemann sum that approximates the following integral and evaluate the integral by finding the limit directly. Hint: the formulas for sums of positive integer powers will be helpful here.

₀∫¹ x² dx

Reference no: EM131012364

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