for the first just remember that the integral for sec(x) is ln(abs(sec(x)+tan(x)))

for the second remember that integral for csc(x) is ln(abs(csc(x)-cot(x)))

for the third you can either do simple arcsin sub or even trig sub

for the fourth you can do arcsec sub or even trig sub again

the 5th is really the same as the 1st again