Solve the trigonometric integral $\int\cos\left(4x\right)\cos\left(6x\right)dx$

Find the integral

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

Find the integral

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

Find the integral

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

Find the integral

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

Find the integral

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

Find the integral

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

Find the integral

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