`x^2+(f(x)-2)x-sqrt(3).f(x)+2sqrt(3)-3=0`, then the value of `f(sqrt(3))`

If f(x) = 2x^4 - x^2 , what is the value of f(2sqrt(3)) ?

If int(x(x-1))/((x^(2)+1)(x+1)sqrt(x^(3)+x^(2)+x))dx =(1)/(2)log_(e)|(sqrt(f(x))-1)/(sqrt(f(x))+1)|-tan^(-1)sqrt(f(x))+C, then The value of f(1) is

Let F(x) be the primitive of (3x+2)/sqrt(x-9) w.r.t.x. If F(10)=60 then the value of F(13)

If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f'(102^(+)) , is

f(x)=sqrt(1-sqrt(1-x^2) then at x=0 ,value of f(x) is

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

If the function f(x)=cos^(-1)(x^((3)/(2))-sqrt(1-x-x^(2)+x^(3))) (" where, "AA 0 lt x lt 1), then the value of |sqrt3f'((1)/(2))| is equal to ("take "sqrt3=1.73)

If I=int(dx)/(x^(2)sqrt(1+x^(2)))=(f(x))/(x)+C, (AA x gt0) (where, C is the constant of integration) and f(1)=-sqrt2 , then the value of |f(sqrt3)| is