Integral(sin2x-cos2x)²dx

intergraL trigonometRi

∫ (sin 2x - cos 2x)² dx =
= ∫ (sin² (2x) + cos² (2x) - 2 sin(2x) cos (2x) dx
= ∫ ( 1 - sin (4x)) dx
= x +1/4 cos (4x) + c