" 5."(2x+3)/(sqrt(x^(2)+4x+5))

int(dx)/(sqrt(4x^(2)-3x+5))

int(dx)/(sqrt(4x^(2)-3x+5))

int(dx)/(sqrt(4x^(2)-3x+5))

Differentiate sqrt((x-3) (x^(2) + 4))/sqrt((3x^(2) + 4x + 5)) w.r.t x.

int (3x-4)/(sqrt(2x^(2)+4x+5))dx=

" (d) "y=sqrt(3x^(2)+4x+5)

int(x+3)/(sqrt(5-4x-x^(2)))dx

int(x+3)/(sqrt(5-4x-x^(2)))dx

" (c) int(dx)/(sqrt(4x^(2)-3x+5)

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 .