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Question

Evaluate a if cos2xcos2αcosxcosαdx=a(sinx+xcosα)+c

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Solution

We know cos2θ=2cos2θ1

Hence, cos2xcos2αcosxcosαdx

=(2cos2x1)(2cos2α1)cosxcosαdx

=2cos2xcos2αcosxcosαdx

=2(cosx+cosα)dx

=2(sinx+xcosα)+c

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