" 5."sin^(3)x cos^(3)x

3. (sin x+cos x)(1-sin x cos x)=sin^(3)x+cos^(3)x

The derivative of sin ^(5) 3x cos ^(3) 2x w.r.t 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))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

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

If 4(sin^(3)x*cos3x+cos^(3)x*sin3x)=(9)/(5) then the value of cos8x=...

Evaluate: int(cos^(4)x)/(sin^(3)x(sin^(5)x+cos^(5)x)^((3)/(5)))dx