sqrt(2ax-x^(2))

int(dx)/(sqrt(2)ax-x^(2))=a^(n)sin^(-1){(x-a)/(a)}a->

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

int(dx)/(x sqrt(ax-x^(2)))

Given that int (dx)/(sqrt(2 ax - x^2)) = a^n sin^(-1) ((x-a)/(a)) where a is a constant. Using dimensional analysis. The value of n is

Given that int (dx)/(sqrt(2 ax - x^2)) = a^n sin^(-1) ((x-a)/(a)) where a is a constant. Using dimensional analysis. The value of n is

Which of the following expressions are not polynomials? x^(2)+2x^(-2) (ii) sqrt(ax)+x^(2)-x^(3)3y^(3)-sqrt(5y)+9( iv) ax^((1)/(2))+ax+9x^(2)+43x^(-2)+2x^(-1)+4x+5

The value of lim_(xrarr0)(sqrt(a^2-ax+x^2)-sqrt(a^2+ax+x^2))/(sqrt(a+x)-sqrt (a-x)) , is

The value of f (0), so that function f(x) = (sqrt(a^2-ax+x^2)-sqrt(a^2+ax+x^2))/(sqrt(a+x) -sqrt(a-x) becomes continuous for all x, is given by

For agt0, let l=lim_(xto(pi)/2)(a^(cotx)-a^(cosx))/(cotx-cosc) and m=lim_(xto-oo)(sqrt(x^(2)+ax))-(sqrt(x^(2)-ax)) then solve it