First, let's rewrite the given expression in a more readable format:
$\int \sin{mx} (\csc{x} - 6\sin{x}) dx = C + \int 7\cos{y}\sec{y}(\cos{y}) dy$
Now, let's simplify the expression:
$\int \sin{mx} (\frac{1}{\sin{x}} - 6\sin{x}) dx = C + \int
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