Calcular la integral trigonométrica $\int\frac{1}{\sin\left(x\right)-1}dx$

Calcular la integral

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

Calcular la integral

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

Calcular la integral

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

Calcular la integral

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

Calcular la integral

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

Calcular la integral

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

Calcular la integral

$\int\frac{dx}{1+sinx+cosx}$