`" Let "f(x)=int_(x)^(x^2)(t-1)dt" .Then the value of "|f'(omega)|" where "omega" is a complex cube root of unity is "`

Let f(x) = int_(-2)^(x)|t + 1|dt , then

Let f(x)=int_(0)^(1)|x-t|dt, then

Find the value of w^4+w^6+w^8 , if w is a complex cube root of unity.

Let f(x)=int_(1)^(x)t(t^(2)-3t+2)dt,1lexle4 . Then the range of f (x) is

If int_(0)^(x)f(t)dt=x+int_(x)^(1)f(t)dt ,then the value of f(1) is

If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1) , the value of f(omega^(n)) (where 'omega' is the non-real root of the equation z^(3)=1 and 'n' is a multiple of 3), is ……….. .

Let z be a complex number satisfying z^(117)=1 then minimum value of |z-omega| (where omega is cube root of unity) is

find the value of |[1,1,1],[1,omega^(2),omega],[1,omega,omega^(2)]| where omega is a cube root of unity

If x=p+q,y=p omega+q omega^(2), and z=p omega^(2)+q omega where omega is a complex cube root of unity then xyz=