Question: 05. (3+2-5 marks) Let f(x, y) be a function of two variables that is defined and continuous in the square region S = [- 1,

05. (3+2-5 marks) Let f(x, y) be a function of two variables that is defined and continuous in the square region S = [- 1, 1]2. a. Derive an integration rule Q (f) that approximates /f(z,y) da dy, by applying the 2-point Gauss-Legendre rule to the iterated integral L ( f(z, y) du dy. 1 b. Use the rule you derived to approximate the double integral dax dy. S ex + ey Compare to the exact value of the integral 4e - 2 (e te ) In e 2

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