" 9."(2x+5)/(sqrt(x^(2)+3x+1))

int(2x+5)/(sqrt(x^(2)+3x+1))

int((2x^(2)+5x+9)dx)/((x+1)sqrt(x^(2)+x+1))

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

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .

THe value of x which satisfy the equation (sqrt(5x^(2)-8x+3))-sqrt((5x^(2)-9x+4))=sqrt((2x^(2)-2x))-sqrt((2x^(2)-3x+1))

lim_ (x rarr oo) (sqrt (3x ^ (2) +1) -sqrt (2x ^ (2) -3x + 5)) / (7x + 2) =

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

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