" 14"(3x^(2)+4x+5)/(sqrt(x))

Integrate each of the following functions w.r.t . X: (3x^(2)- 4x + 5)/(sqrt(5))

int_(0)^(1)((3x^(2))/(sqrt(1-x^(6)))+(4x^(3))/(sqrt(1-x^(8)))+(5x^(4))/(sqrt(1-x^(10)))+...." to "n" terms ")dx=

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

The number of real solutions of sqrt(x^(2)-4x+3)+sqrt(x^(2)-9)=sqrt(4x^(2)-14x+6)

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 .

lim_(x rarr oo) (5x^(2))/(sqrt(25x^(4)+13x^(3)+14x^(2)+17x+6)) is ______.