Use the fundamental theorem of calculus to find the exact

Question

Question: Consider the integral

₀∫⁴ 3√(x)dx

(a) Estimate the value of the integral using MID(2).

(b) Use the Fundamental Theorem of Calculus to find the exact value of the definite integral.

(c) What is the error for MID(2)?

(d) Use your knowledge of how errors change and your answer to part (c) to estimate the error for MID(20).

(e) Use your answer to part (d) to estimate the approximation MID(20).