Real root of the equation `(x - 1)^2013+ (x - 2)^2013+ (x-3)^2013+........+(x-2013)^2013=0` digits is :

Real root of the equation (x-1)^(2013) +(x-2)^ (2013) +(x-3)^ (2013)+……….+(x-2013)^(2013) =0 is a four digit number. Then the sum of the digits is :

Real root of the equation (x-1)^(2013) +(x-2)^ (2013) +(x-3)^ (2013)+……….+(x-2013)^(2013) =0 is a four digit number. Then the sum of the digits is :

The numbr of real roots of the equation x ^(2013)+ e ^(2014x) =0 is

The numbr of real roots of the equation x ^(2013)+ e ^(20144x) =0 is

The numbr of real roots of the equation x ^(2013)+ e ^(20144x) =0 is

If x is the root of the equation x^(2) -ix -1 =0 , then x^(2013) - 1/x^(2013) may be

If x is the root of the equation x^(2) -ix -1 =0 , then x^(2013) - 1/x^(2013) may be

int_(1)^(2013)[(x-1)(x-2)...(x-2013)]dx

int_(1)^(2013)[(x-1)(x-2)...(x-2013)]dx

int_(1)^(2013)[(x-1)(x-2)...(x-2013)]dx