Solve the trigonometric integral $\int\frac{2\sin\left(7x\right)^3}{3-3\cos\left(7x\right)^2}dx$

Find the integral

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

Find the integral

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

Find the integral

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

Find the integral

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

Find the integral

$\int\arccsc\left(x\right)dx$

Find the integral

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

Find the integral

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