Demostrar la identidad trigonométrica $\frac{1-\sec\left(x\right)^2}{\sec\left(x\right)^2}=-\sin\left(x\right)^2$

Calcular la integral

$\int cos^23xdx$

Calcular la integral

$\int\sin^4\left(7x-2\right)dx$

Calcular la integral

$\int\cos^6\left(x\right)dx$

Calcular la integral

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

Calcular la integral

$\int arctan\:x\:dx$

Calcular la integral

$\int sin^4xdx$

Calcular la integral

$\int sin\left(x\right)\cdot\cos\left(x\right)dx$