Is there a way to integrate the following:

SQR(A*Sec(x)^4 + B*Sec(x)^3 + C*Sec(x)^2 + D*Sec(x) + E) dx

Where A,B,C,D,E are constants.

I know the integrals for:

A*Sec(x)^4
B*Sec(x)^3
C*Sec(x)^2
D*Sec(x)

Not sure how to proceed form here.