Calcular la integral trigonométrica $\int\sqrt{\sin\left(x\right)}\cos\left(x\right)dx$

Calcular la integral

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

Calcular la integral

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

Calcular la integral

$\int x\left(x^2-3\right)dx$

Calcular la integral

$\int\csc^23x\cos3xdx$

Calcular la integral

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

Calcular la integral

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

Calcular la integral

$\int\sin^4x\cos xdx$