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grrr. pi, not pie!
split it up and you have
dx/(x+2) = sin^2(2t) dt
ln(x+2) = 1/8 (4t-sin(4t))+c
x+2 = c e^(1/8 (4t-sin(4t))
at (0,0) we have
2 = c, so
x = 2e^(1/8 (4t-sin(4t)) - 2