Write an expression for a right-hand riemann sum

Question

Question: Consider the definite integral

₀∫¹ x⁴dx

(a) Write an expression for a right-hand Riemann sum approximation for this integral using n subdivisions. Express each xi, i = 1,2,. . . ,n, in terms of i.

(b) Use a computer algebra system to obtain a formula for the sum you wrote in part (a) in terms of n.

(c) Take the limit of this expression for the sum as n → ∞, thereby finding the exact value of this integral.