Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(4((-2(-2sin(1πx + 1)) - 2)/(-1(-2sin(1πx + 1)))) + 3)^2 + 3(4((-2(-2sin(1πx + 1)) - 2)/(-1(-2sin(1πx + 1)))) + 3) - 5 is strictly increasing.

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