[(ax+b)],[quad 8.quad x sqrt(1+2x^(2))]

(1)/(sqrt(ax-x^(2)))

IfI=int(dx)/((2ax+x^(2))^((3)/(2))), then I is equal to (a) -(x+a)/(sqrt(2ax+x^(2)))+c(b)-(1)/(a)(x+a)/(sqrt(2ax+x^(2)))+c(c)-(1)/(a^(2))(x+a)/(sqrt(2ax+x^(2)))+c(d)-(1)/(a^(3))(x+a)/(sqrt(2ax+x^(3)))+c

The value of lim_(x rarr oo) [sqrt(a^(2)x^(2)+ ax+1) - sqrt(a^(2)x^(2)+1)] is

If 2x = sqrt((a)/(b)) - sqrt((b)/(a)) , then show that (2a sqrt(1 + x^(2)))/(x + sqrt(1 + x^(2))) = a + b

int (ax^(2)-b)(dx)/(x sqrt(c^(2))x^(2) -(ax^(2) + b^(2))^(2)

Evaluate lim_(x to oo ) [sqrt(a^(2)x^(2)+ax+1)-sqrt(a^(2)x^(2)+1)].

Evaluate lim_(x to oo ) [sqrt(a^(2)x^(2)+ax+1)-sqrt(a^(2)x^(2)+1)].

Evaluate underset(xtooo)lim[sqrt(a^(2)x^(2)+ax+1)-sqrt(a^(2)x^(2)+1)].

Evaluate underset(xtooo)lim[sqrt(a^(2)x^(2)+ax+1)-sqrt(a^(2)x^(2)+1)].