integration ((cos(5x)+cos(4x))/(1-2cos(3x))) dx

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Hello Fellow Mathematicians,
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• integration ((cos(5x)+cos(4x))/(1-2cos(3x))) dx = -sin(x)(cos(x)+1)+C
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My idea was similar. There is my So we have then integral from (-sin3x)(cos x/2)/(sin (3x/2)). After substitution x/2=z we have integral (-2)*(sin6z)(cos z)/(sin3z)= integrál (-2) *2*cos 3z*cos(z)= integrál (-2). *(cos 4z+ cos 2z). There is the same result then.

tgx
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Nice use of trigger identities. Hilarious use of Tom & Jerry.

buxeessingh