Write down a right riemann sum that approximates the

Question

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

lim_{n→∞ k=1}Σⁿ (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