Find the smallest values for n m so that Algorithm 4 4 can be used to approximate the integrals in Exercise 3 to within 106 of the actual value In Exercise 3 T 4 (2y sin cos2 x) dy dx In xy dy dx (x2 y, dy, dr cosx dy dr cosy dy du dy dr r (y sinx x cos y) dy dr

Question: Find the smallest values for n = m so that Algorithm 4.4 can be used to approximate the integrals in Exercise 3 to within 106

Find the smallest values for n = m so that Algorithm 4.4 can be used to approximate the integrals in Exercise 3 to within 10ˆ’6 of the actual value.
In Exercise 3

T/4 (2y sin cos2 x) dy dx In xy dy dx (x2 + y, dy, dr cosx dy dr cosy dy du dy dr r (y sinx + x cos y) dy dr

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