Question: EXAMPLE 3 Evaluate 0sin2(5x)dx.SOLUTION Ifwe write sin2(5x)=1-cos2(5x), the integral isno simpler to evaluate. Using the half-angle formula for sin2(x), however, we haveNotice that we mentally

EXAMPLE 3 Evaluate 0sin2(5x)dx.SOLUTION Ifwe write sin2(5x)=1-cos2(5x), the integral isno simpler to evaluate. Using the half-angle formula for sin2(x), however, we haveNotice that we mentally made the substitution u=10x when integrating cos(10x). Another method for evaluating this integral was given in this exercise.

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