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" Evaluate "int(2cos x+3sin x)/(4cos x+5...

" Evaluate "int(2cos x+3sin x)/(4cos x+5sin x)dx

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A: int (2cos x +3sin x)/(4cos x+5 sin x)dx= (-2)/(41)log|4cos x+5Sinx|+(23)/(41)x+c R: int (a cos x+b sin x)/(c cos x+d sin x)dx= (ac+bd)/(c^(2)+d^(2))x+(ad-bc)/(c^(2)+d^(2))log|c cos x+d sin x |+k

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