Find the integral $\int\frac{37-11x}{\left(x^2-x-2\right)\left(x-3\right)}dx$

Find the integral

$\int\frac{dx}{1+cos^2x}$

Find the integral

$\int\frac{1}{\sin\left(x\right)-\cos\left(x\right)}dx$

Find the integral

$\int\frac{dx}{1-\cos\left(x\right)}$

Find the integral

$\int\frac{1}{1-sin\left(x\right)}dx$

Find the integral

$\int\frac{dx}{1-sin\left(x\right)}$

Find the integral

$\int\frac{1}{1-sinx}dx$

Find the integral

$\int\frac{1}{cosx-1}dx$