? (senx-cosx)^4 no intervalo de 0 a 2pi

(senx - cosx)^4 = (senx - cosx)²(senx - cosx)² = (sen²x - 2senx.cosx+ cos²)(sen²x - 2senx.cosx+ cos²) = (1-2.senx.cosx)² = (1- sen(2x) )² x = 0 (1- sen(2.0) )² = 1 x = pi/4 (1- sen(2.pi/4) )² = 0 x = pi/2 (1- sen(2.pi/2) )² = 1 x = 3.pi/4 (1- sen(2.3.pi/4) )² = 4 x = pi (1- sen(2.pi) )² = 1 x = 5pi/4 (1- sen(2.5.pi/4) )² = 0 x = 3.pi/2 (1- sen(2.3.pi/2) )² = 1 x = 7.pi/4 (1- sen(2.7.pi/4) )² = 4 x = 2pi (1- sen(2.2.pi) )² = 1