" (iv) "quad |x^(3)-1|>=1-x

Solve for x(i)|x^(3)-1|>=1-x

int dx/(x(1+root(3)(x))^2) is equal to : (i) 3log(x^(1/3)/(1+x^(1/3))+1/(1+x^(1/3)))+C (ii) 3log(((1+x^(1/3))/x^(1/3))+1/(1+x^(1/3)))+C (iii) 3log(((1+x^(1/3))/x^(1/3))+1/(1+x^(1/3)))+C (iv) none of these

The solution of (dy)/(dx) + (3x^(2) y)/(1 + x^(3)) = (1+ x^(2))/(1 + x^(3)) is

Evaluate lim_(x rarr1)(x^(3)-1)/(x-1)

Let f(x)=x+(1-x)x^(3)+(1-x)(1-x^(2))x^(3)+.........+(1-x)(1-x^(2))......*(1-x^(n-1))x^(n);(n>=4) then :

((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))=

An extremum value of the function f(x)=(sin^(-1)x)^(3)+(cos^(-1)x)^(3)(-1<=x<=1) is