`int_0^(pi//2)(sin2x)/(sin^4x+cos^4x) \ dx`

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

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

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

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

Evaluate the following integral: int_0^(pi//2)(xsinxcosx)/(sin^4x+cos^4x)dx

Evaluate the following integral: int_0^(pi//2)(xsinxcosx)/(sin^4x+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)((sin^4x)/(sin^4x+cos^4x))dx

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