root(1 2)(*)(x^(3)+x+1)/(x^(2)-1)

int(dx)/(root(3)((x-1)^(4)*(x+1)^(2)))

The value of the lim_(x rarr0)(root(3)(1-2x)-root(4)(1+x^(2)))/(x^(2)+x) is

The value of the lim_(x rarr0)(root(3)(1-2x)-root(4)(1+x^(2)))/(x^(2)+x) is

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

Find the value of int_(0)^(1)root(3)(2x^(3)-3x^(2)-x+1)dx .

Find the value of int_(0)^(1)root(3)(2x^(3)-3x^(2)-x+1)dx .

Find the value of int_(0)^(1)root(3)(2x^(3)-3x^(2)-x+1)dx

lim_(x rarr oo) (sqrt(x^(2) + 1) - root(3)(x^(3) + 1))/(root(4)(x^(4) + 1) - root(5) (x^(4) + 1)) equals :

int(x+root(3)(x^(2))+root(6)(x))/(x(1+root(3)(x)))dx is equal to (i)(3)/(2)x(1+root(3)(x))(3)/(2)x^((2)/(3))+6tan^(-1)x^(6)+C( iii) (3)/(2)x^((2)/(3))+6tan^(-1)x^((1)/(6))+C( iv) (2)/(3)x^((2)/(3))+5tan^(-1)x^(6)+C