Simplify `(sin^(3)x+cos^(3)x)/(sin^(3)x*cos^(3)x)`

Integrate the functions (sin^(3)x+cos^(3)x)/(sin^(2)x cos^(2)x)

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

(sin^(3)x+cos^(3)x)/(sin x+cos x)+(sin^(3)x-cos^(3)x)/(sin x-cos x)=2

(int(sin^(3/2)x+cos^(3/2)x)dx)/(sqrt(sin^(3)x cos^(3)x sin(x-alpha)))

int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))backslash dx

int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))backslash dx

What is the value of (sin^(3) x + cos^(3) x)/( sin x + cos x) + sin x cos x ?

int ((sin ^ (2) x cos ^ (2) x) / (sin ^ (3) x + cos ^ (3) x)) dx =

the range of the function f defined by f(x)=(sin x cos3x)/(sin3x*cos x)is

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