`int(dx)/((sin^4x+cos^4x)`

underset then If int(dx)/(sin^(4)x+cos^(4)x)=(1)/(sqrt(2))tan^(-1)f(x)+C

int(sin2x)/(sin^4x+cos^4x)dx

Evaluate: int(sin2x)/(sin^4x+cos^4x)dx

Evaluate: int(1)/(sin^(4)x+cos^(4)x)dx

int 1/(sin^2x cos^4x)dx

(i) int_0^(pi//2) (sin^3x)/(sin^3x+cos^3x) dx (ii) int_0^(pi//2) (cos^3x)/(sin^3x+cos^3x) dx (iii) int_0^(pi//2) (sin^4x)/(sin^4x+cos^4x) dx (iv) int_0^(pi//2) (cos^5x)/(sin^5x+cos^5x) dx (v) int_0^(pi//2) (sin^5x)/(sin^5x+cos^5x) dx

Evaluate: int_0^(pi/2) (sin2x)/(sin^4x+cos^4x)dx