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SOLVED: I/2 (1 + cos(2x))^(3/2) dx. Evaluate Solution. First, use the identity 1 + cos(2x) = 2(cos(x))^2 to transform the integral. We obtain: ∫(1/2) (1 + cos(2x))^(3/2) dx = ∫(1/2) (2(cos(x))^2)^(3/2) dx
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