Integrate the function $\frac{-1}{\frac{2x^2-x-3}{x^3+2x^2+6x+5}}$

Find the integral

$\int\frac{dx}{1-\cos x+\sin x}$

Find the integral

$\int\frac{dx}{x^2+7x-6}$

Find the integral

$\int\frac{dx}{1+\cos^2\left(x\right)}$

Find the integral

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

Find the integral

$\int\frac{dx}{1+\cos^2\left(x\right)}$

Find the integral

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

Find the integral

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