(x^(2))/(sqrt(x^(2)-9))

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

Evaluate: int(x)/((x^(2)+4)sqrt(x^(2)+9))dx

lim_(x rarr oo)((sqrt(1+25x^(2))+sqrt(9x^(2)-1))/(sqrt(1+25x^(2))-sqrt(9x^(2)-1)))=

underset(x to oo)lim (sqrt(1+25x^(2))+sqrt(9x^(2)-1))/(sqrt(1+25x^(2))-sqrt(9x^(2)-1))

underset(x to oo)lim (sqrt(1+9x^(2))+sqrt(x^(2)-1))/(sqrt(1+9x^(2))-sqrt(x^(2)-1))=

Lt_(x to oo) (sqrt(3+9x^(2))+sqrt(4x^(2)-1))/(sqrt(1+16x^(2))-sqrt(9x^(2)+2))=

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

Evaluate the following improper integrals : (a) int_(-3)^(3)(x^(2)dx)/(sqrt(9-x^(2))), (b) int_(0)^(2)sqrt((2+x)/(2-x))dx.