Integrate (3-sin^{2}2x)/cos^{2}2x w.r.t x

∫3/cos^{2}2x – sin^{2}x/cos^{2}2x dx

=∫3sec^{2}2x – (sec^{2}2x-1) dx

=∫2sec^{2}2x +1 dx

=2tan2x/2 + x + c

=tan2x + x + c

Integrate (3-sin^{2}2x)/cos^{2}2x w.r.t x

∫3/cos^{2}2x – sin^{2}x/cos^{2}2x dx

=∫3sec^{2}2x – (sec^{2}2x-1) dx

=∫2sec^{2}2x +1 dx

=2tan2x/2 + x + c

=tan2x + x + c