" (ii) "sin^(-1)(cos3x)

int sin^(-1)(cos3 x)dx

If y= sin^(-1) (cos 3x) , find dy/dx

intsqrt((cosx-cos^3x)/(1-cos^3x))dx is equal to (a) -2/3sin^(-1)(cos^(3/2)x)+C (b) 3/2sin^(-1)(cos^(3/2)x)+C (c) 2/3cos^(-1)(cos^(3/2)x)+C (d) none of these

If y=sin^(-1) (cos 3x),"then "dy/dx=

int sqrt((cos x-cos^(3)x)/(1-cos^(3)x))dx is equal to (2)/(3)sin^(-1)(cos^((3)/(2))x)+C(3)/(2)sin^(-1)(cos^((3)/(2))x)+C(2)/(3)cos^(-1)(cos^((3)/(2))x)+C(d) none of these

int sqrt((cosx-cos^3x)/(1-cos^(3) x)dx is equal to Option A: 2/3 sin^(-1)(cos^(3/2)x)+C Option B: 3/2 sin^(-1)(cos^(3/2)x)+C Option C: 3/2 cos^(-1)(cos^(3/2)x)+C

intsqrt((cosx-cos^(3)x)/(1-cos^(3)x))dx is equal to a) 2/3sin^(-1)(cos^(3//2)x)+C b) (3)/(2)sin^(-1)(cos^(3//2)x)+C c) (2)/(3)cos^(-1)(cos^(3//2)x)+C d)None of these

The greatest and least values of (sin^-1x)^3+(cos^-1x)^3 are

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