If `((Inx)^2 -3Inx +3)/(Inx-1)<1` , then x belongs to :

int(Inx)^3dx

If f(x) =(3(Inx)^(2)+(In x)^(4))/(x(1+(In x)^(2)-(Inx)^(3))^(2))dx and f(1) = 0, then the value of |3f(e^(2))| is equal to

If int(Inx)/x^3 dx=-(lnx)/(ax^2)-1/(bx^2)+c , then the value of ((a^5+b^4)/72) must be

Let (x_0,y_0) be the solution of the following equations (2x)^(In2)=(3y)^(In3) 3^(Inx)=2^(Iny) , then x_0 is