Question: Evaluate the following integral: (a) Analytically; (b) Single application of the trapezoidal rule; (c) Composite trapezoidal rule, with n = 2 and 4; (d) Single

Evaluate the following integral:


(1 -x - 4.r + 2r) dx -2


(a) Analytically;

(b) Single application of the trapezoidal rule;

(c) Composite trapezoidal rule, with n = 2 and 4;

(d) Single application of Simpson's 1/3 rule;

(e) Simpson's 3/8 rule, and

(f) Boole’s rule. For each of the numerical estimates (b) through (f) determine the percent relative error based on (a).

(1 -x - 4.r + 2r) dx -2

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