`I = sec^( 2/3) x cos ec ^(4/3) xdx` is equal to

int sec^(2/3)x cosec^(4/3)xdx

int sec^((2)/(3))x cos ec^((4)/(3))xdx is equal to

int sec^(3)xdx is equal to

int cos ec^(4)2xdx

The integral int sec^(2/3)x cos ec^(4/3)x backslash dx is equal to :( Here C is a constant of integration )

int cos ec^(3)xdx

int cos ec^(3)xdx

int cos ec^(4)xdx

Value of int_(pi/6)^( pi/3)sec^(2/3)x*cos ec^(4/3)xdx is

int cot^(3)x cos ec^(4)xdx