`(1)/(x^(2)-9)`

int(1)/(4x^(2) +9) dx

For x in(0,1) arrange f_(1)(x) = (1)/(9-x^(2)), f_(2)(x) = (1)/(9-2x^(2)) and f_(3)(x) = (1)/(9-x^(2)-x^(3)) in ascending order and hence prove that 1/6 ln2 lt int_(0)^(1)(1)/(9-x^(2)-x^(3)) dx lt (1)/(6sqrt(2)) ln 5 .

Which of the following is the equation of an asymptote of y=(3x^(2)-2x-1)/(9x^(2)-1) ?

If x gt 0 and x^(2) +(1)/(9x^(2))= (25)/(36) , find x^(3) + (1)/(27x^(3))

int(1)/(sqrt(x^(2) -9))dx

The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/9]+cos^(-1) [x^(2)-4/9] where where [.] denotes the greatest integer function is:

The set of all x for which the none of the functions is defined f(x)=log_((x-1)//(x+3))2 and g(x)=(1)/(sqrt(x^(2)-9)) , is

If f(x)= {{:(,x-5 "for "x le 1),(,4x^(2)-9"for "1 lt x lt 2"then "f'(2+)),(,3x+4"for "xge2):}

int(3x-1)/(sqrt(x^(2)+9))dx

If 3x + (1)/(3x) = 3 , find : (i) 9x^(2) + (1)/(9x^2)