" 3."(1)/(sqrt(x^(2)-2x+4))

int(2x+1)/(sqrt(x^(2)+2x+4))dx=2sqrt(x^(2)+2x+4)-log[(x+1)+sqrt(x^(2)+2x+4)]

(2x + 3)/(sqrt(x^(2)+ 4 x + 1 ))

int_(1)^((4sqrt(3))/(3)-1)(x+2)/(sqrt(x^(2)+2x-3))dx equal to

int (x^(2)-1)/(x^(3)sqrt(2x^(4)-2x^(2)+1))dx=

int(x^(2)-1)/(x^(3)sqrt(2x^(4)-2x^(2)+1))dx is equal to

int(x^(2)-1)/(x^(3)sqrt(2x^(4)-2x^(2)+1))dx,is equal to(sqrt(2x^(4)-2x^(2)+1))/((sqrt(2x^(4)-2x^(2)+1))/(x^(2)))+C(d)(sqrt(2x^(4)-2x^(2)+1))/(2x^(2))+C

Evaluate underset( x rarr oo )("lim") ( sqrt( 3x^(2) - 1) - sqrt( 2x ^(2) - 1))/( 4x + 3)

If x+sqrt(x^(2)-1)+(1)/(x+sqrt(x^(2)+1))=20 then x^(2)+sqrt(x^(4)-1)+(1)/(x^(2)+sqrt(x^(4)-1))=