(x^(2)+x+1)^(2)-(m-3)(x^(2)+x+1)+m=0

Find the set of real values of 'm' for which the equation ((x)/(1+x^(2)))^(2)-(m-3)((x)/(1+x^(2)))+m=0 has real roots.

Let f(x) = (x^(2) + 4x + 1)/( x^(2) + x + 1), x inR If m le f(x) le M AA x in R , then (1)/(2) (M - m) = _______

If x^(3) - 5x^(2) - 2x - 6 = m(x^(2) + 2x + 1) + (11x + 1) . Then m=?

For any natural number m, evaulate, int(x^(3m)+x^(2m)+x^(m))(2x^(2m)+3x^m+6)^(1//m)dx, x gt0

For any natural number m, evaulate, int(x^(3m)+x^(2m)+x^(m))(2x^(2m)+3x^m)+6^(1/m)dx, x gt0

lim_(x rarr2)[(x-2)/(x^(2)-4)-(1)/(x^(3)-3x^(2)+x)]=(1)/(m) where l and m are mutually prime then the value of (l+m)

If the antiderivative of (x^(3))/(sqrt(1+2x^(2))) which passes through (1,2) is (1)/(m)(1+2x^(2))^((1)/(2))(x^(2)-1)+2, then the value of m is

Evaluate for m in N , int(x^(3m)+x^(2n)+x^m)(2x^(2m)+3x^m+6)^(1/m)dx ,x >0