Solve `(1+sin^2x-cos^2x)/(1+sin^2x+cos^2x)`

int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx

Evaluate: int \ (sin^2x cos^2x)/(sin^5x+cos^3x sin^2x + sin^3x cos^2x + cos^5x)^2 \ dx

int_0^(pi//4)(x^2(sin2x-cos2x))/((1+sin2x)cos^2x)dx

Solve sin 2x+cos 4x=2 .

Solve sin 2x+cos 4x=2 .

Solve sin 2x=4 cos x .

Solve 2 sin^(3) x=cos x .

Solve : sin^(10)x+cos^(10)x=29/16cos^4 2x

Solve the equation sin^2x-cos^2x=(1)/(2)

If the maximum and minimum values of the determinant |(1 + sin^(2)x,cos^(2) x,sin 2x),(sin^(2) x,1 + cos^(2) x,sin 2x),(sin^(2) x,cos^(2) x,1 + sin 2x)| are alpha and beta , then