[" E "75quad " If "a cos^(3)x+3a cos x sin^(2)x=m" and "a sin^(3)x+3a cos^(2)x sin x=n" ,then "],[[x," 3"+(m-n)^(2/3)=2a^(2/3)]]

If a cos^(3)x+3a cos x sin^(2)x=m and a sin^(3)x+3a cos^(2)x sin x=n, then prove that (m+n)^((2)/(3))+(m-n)^((2)/(3))=2a^((2)/(3))

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

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

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

If a sin^(3)x+b cos^(3)x= sin x cos x and a sin x= b cos x then a^(2)+b^(2)=

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

If sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x then x =

If a sin^(3)x+b cos^(3)x=sin x cos x and a sin x=b cos x then a^(2)+b^(2)=

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