Question: Consider the integral where p is a positive integer. a. Write the left Riemann sum for the integral with n subintervals. b. It is a

Consider the integral I(p) = S,x² dx, where p is a positive integer.

a. Write the left Riemann sum for the integral with n subintervals.

b. It is a fact (proved by the 17th-century mathematicians Fermat and Pascal) that k \P lim Σ p + 1 k=0

Use this fact to evaluate I(p).

I(p) = S,x dx, k \P lim p + 1 k=0

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