Find the integral

$\int\sec^4xdx$

Evaluate the integral

$\int_2^3\frac{1}{\sqrt{x-1}}dx$

Find the integral

$\int cos^23xdx$

Find the integral

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

Evaluate the integral

$\int_3^{\infty}4e^{\left(2x-4\right)}dx$

Find the integral

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

Find the integral

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