Integral of $$$\frac{\left(3 \sin{\left(x \right)} - 2\right) \cos{\left(x \right)}}{- 7 \sin{\left(x \right)} - \cos^{2}{\left(x \right)} + 13}$$$
The calculator will find the integral/antiderivative of $$$\frac{\left(3 \sin{\left(x \right)} - 2\right) \cos{\left(x \right)}}{- 7 \sin{\left(x \right)} - \cos^{2}{\left(x \right)} + 13}$$$, with steps shown.
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Find $$$\int \frac{\left(3 \sin{\left(x \right)} - 2\right) \cos{\left(x \right)}}{- 7 \sin{\left(x \right)} - \cos^{2}{\left(x \right)} + 13}\, dx$$$.