For the function f(x) = 3((3(1cos(1πx + 2)) + 2)/(1(1cos(1πx + 2)) + 3))^2 + 4((3(1cos(1πx + 2)) + 2)/(1(1cos(1πx + 2)) + 3)), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}
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