`(sin^3 x.cos^4 x) 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

(i) int sin^2x cos^3x dx (ii) int sin^3 x cos^2 x dx (iii) int sin^3 x cos^3 x dx

int( sin x*cos^(4)x)dx

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

int(sin x)/(sin^(3)x+cos^(3)x)dx

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

What is int_(-pi//6)^(pi//6) (sin^5 x cos^3 x)/x^4 dx equal to

int(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x cos x)dx,x in(0,(pi)/(2))

int(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x cos x)dx,x in(0,(pi)/(2))