Question: Evaluate 0sin2(9x) dx.SOLUTION If we write sin2(9x)=1 cos2(9x), the integral is no simpler to evaluate. Using the half-angle formula for sin2(x), however, we have0sin2(9x) dx=120(1

Evaluate 0sin2(9x) dx.SOLUTION If we write sin2(9x)=1 cos2(9x), the integral is no simpler to evaluate. Using the half-angle formula for sin2(x), however, we have0sin2(9x) dx=120(1 cos(18x)) dx=12x 0=12120=Notice that we mentally made the substitution u =18x when integrating cos(18x). Another method for evaluating this integral was given in this exercise.

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