Given f(x) `=|{:(0,x^(2)-sinx,cosx-2),(sinx-x^(2),0,1-2x),(2-cosx,2x-1,0):}|` `intf(x)` dx is equal to

If f(x)=|(0,x^2-sinx,cosx-2),(sinx-x^2,0,1-2x),(2-cosx,2x-1,0)|, then int f(x) dx is equal to

If Delta(x)=|(1,cosx,1-cosx),(1+sinx,cosx,1+sinx-cosx),(sinx, sinx ,1)| then int_0^(pi//2)Delta(x) dx is equal to :

If A=[{:(cosx,sinx,0),(-sinx,cosx,0),(0,0,1):}] =f(x), then A^(-1) is equal to

If sin2x=1 , then |(0,cosx,-sinx),(sinx,0,cosx),(cosx,sinx,0)| equals :

If f(x) =|{:(cosx,1,0),(1,2 cosx,1),(0,1,2 cosx):}|, "then" |overset(pi//2)underset(0)intf(x)dx| is equal to

If f(x) =|{:(cosx,1,0),(1,2 cosx,1),(0,1,2 cosx):}|, "then" |overset(pi//2)underset(0)intf(x)dx| is equal to

If f(x)=|{:(2cos^(2)x,sin2x,-sinx),(sin2x,2sin^(2)x,cosx),(sinx,-cosx,0):}|" then "int_(0)^(pi//2)[f(x)+f'(x)]dx=