The value of `sqrt ( (x^2 + 1/ x^2)^2 - 4)` is

If x=3+2sqrt(2) , then the value of (sqrt(x)-1/sqrt(x)) is

The value of lim_(x to oo) (sqrt(x^(2) + x + 1) - sqrt(x^(2) - x + 1)) equals

If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(sqrt(2)) (c) (sqrt(3))/2 (d) 2/(sqrt(3))

The maximum value of y = sqrt((x-3)^(2)+(x^(2)-2)^(2))-sqrt(x^(2)-(x^(2)-1)^(2)) is

The value of tan^(-1)[(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))]=theta, |x|<1/2,x!=0 , is equal to:

If x+1/x=sqrt(5) , find the values of x^2+1/(x^2) and x^4+1/(x^4)

The value of int_(-1)^(1) {sqrt(1+x+x^(2))-sqrt(1-x+x^(2))}dx , is

The value if int(x^(2)-1)/((x^(2)+1)(sqrt(x^(4)+1)))dx equal to (1)/(sqrt(2))sec^(-1)(f(x))+c , then f(x) is

Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant

(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)) .