Find the sum of all integral values of x in interval `[-4,100]` satisfing `|2x-sqrt((2x-1)^2)|=1`

Find the sum of all possible integral values of in [1,100] for which the function f(x)=2x^(3)-3(2+alpha)x^(2) has exactly one local maximum and one local minimum.

Find the sum of all possible integral values of in [1,100] for which the function f(x)=2x^(3)-3(2+alpha)x^(2) has exactly one local maximum and one local minimum.

Find the sum of the coefficients of all the integral powers of x in the expansion of (1+2sqrt(x))^(40) .

Find the sum of the coefficients of all the integral powers of x in the expansion of (1+2sqrt(x))^(40)dot

Find the sum of the coefficients of all the integral powers of x in the expansion of (1+2sqrt(x))^(40)dot

Find the sum of the coefficients of all the integral powers of x in the expansion of (1+2sqrt(x))^(40)

If the inequality (x^(2)-kx-2)/(x^(2)-3x+4)>-1 for every x in R and S is the sum of all integral values of k, If the inequalitythen find the value of S^(2)

The sum of all integral values of 'a' for which the equation 2x ^(2) -(1+2a) x+1 +a=0 has a integral root.

The sum of all integral values of 'a' for which the equation 2x ^(2) -(1+2a) x+1 +a=0 has a integral root.

Find the values of the following integrals int[(2x-1)/(3sqrt(x))]^(2)dx,(xgt0)