Question: Evaluate the following double integral: (a) Analytically. (b) Using a multiple-application trapezoidal rule, with n = 2; and (c) Using single applications of Simpsons 1/3

Evaluate the following double integral:

(2– 2 y + xy) dx dy

(a) Analytically.
(b) Using a multiple-application trapezoidal rule, with n = 2; and
(c) Using single applications of Simpson€™s€™ 1/3 rule. For (b) and (c), compute the percent relative error(εl).

(2 2 y + xy) dx dy

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