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Question

1cos x-a cos x-b dx

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Solution

1cos x-a·cos x-bdx=1sin a-bsin a-bcos x-a·cos x-b dx=1sin a-bsin x-b-x-acos x-a·cos x-b dx=1sin a-bsin x-b·cos x-a-cos x-b·sin x-acos x-a·cos x-b=1sin a-bsin x-b·cos x-acos x-a·cos x-b-cos x-b·sin x-acos x-a·cos x-b dx=1sin a-btan x-b-tan x-a dx=1sin a-btan x-b dx-tan x-a dx=1sin a-bln sec x-b-ln sec x-a +C=1sin a-bln cos x-a-ln cos x-b +C=1sin a-bln cos x-acos x-b +C

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