1. In all parts of this problem you will be evaluating the definite integral ſ² f(x) dx where f(x) is the function f(x) = 16 – 2x³. Use a regular partition with the given number of subintervals. (a) Find an underestimate for the definite integral using a left or right Riemann Sum with n = 4. (b) Find an overestimate for the definite integral using a left or right Riemann Sum with n = 8. (c) Evaluate the definite integral exactly using the definition. (Find the limit of a Riemann Sum as n → ∞o.)

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1. In all parts of this problem you will be evaluating the definite integral ſ² f(x) dx where f(x)
is the function f(x) = 16 – 2x³. Use a regular partition with the given number of subintervals.
(a) Find an underestimate for the definite integral using a left or right Riemann Sum with n = 4.
(b) Find an overestimate for the definite integral using a left or right Riemann Sum with n =
= 8.
(c) Evaluate the definite integral exactly using the definition. (Find the limit of a Riemann Sum
as n → ∞.)
Transcribed Image Text:1. In all parts of this problem you will be evaluating the definite integral ſ² f(x) dx where f(x) is the function f(x) = 16 – 2x³. Use a regular partition with the given number of subintervals. (a) Find an underestimate for the definite integral using a left or right Riemann Sum with n = 4. (b) Find an overestimate for the definite integral using a left or right Riemann Sum with n = = 8. (c) Evaluate the definite integral exactly using the definition. (Find the limit of a Riemann Sum as n → ∞.)
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