` Evaluate: int((sin^((3)/(2))x+cos^((3)/(2))x)dx)/(sqrt(sin^(3)x cos^(3)x sin(x-alpha)))=`

If int((sin^((3)/(2))x+cos^((3)/(2))x)dx)/(sqrt(sin^(3)x cos^(3)x sin(x-alpha)))=a sqrt(cos alpha tan x-sin alpha)+b sqrt(cos alpha-sin alpha cot x)+c then

Evaluate: int(sin^(2)x)/(cos^(14)x)3dx

4int(sin^(3)x+cos^(3)x)/(sin^(2)2x)dx=

Evaluate: (i) int(1)/(sin^(3)x cos^(5)x)dx (ii) int(1)/(sin^(3)x cos x)dx

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

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

Evaluate: int(sin x cos x)/(3sin^(2)x-4cos^(2)x)dx

Evaluate: int(1)/(sin x(3+2cos x)dx)

Evaluate: int(1)/(sin x(3+2cos x))dx

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