Please solve with z-substitution method:Determine the following integrals by using
z-substitution:
\int (dx)/(1+sinx)
\int_0^((\pi )/(2)) (dx)/(1+sinx+cosx)
\int_0^((\pi )/(3)) (dx)/(3+2cosx)
\int (dx)/(sinx-cosx)
\int_((\pi )/(3))^((\pi )/(2)) (dx)/(1-cosx)