EXAMPLE 3 Evaluate SOLUTION If we write sin2(9x) = 1 – cos?(9x), the integral is no simpler to %3D evaluate. Using the half-angle formula for sin2(x), however, we have IT sin2(9x) dx (1 – cos(18x)) dx %3D - {(-[ IT ] )-o-[ Notice that we mentally made the substitution u = 18x when integrating cos(18x). Another method for evaluating this integral was given in this exercise. II

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