" 21.af "y=sin^(-2)(sqrt(x-ax)-sqrt(a-ax))" ,at for "(60)/(ax)=(1)/(2sqrt(x)sqrt(1-x))

y=sin^(-1)[sqrt(x-ax)-sqrt(a-ax)]

if y=sin^(-1)[sqrt(x-ax)-sqrt(a-ax)] then prove that (1)/(2sqrt(x)sqrt(1-x))

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

int(sqrt(a)-sqrt(x))/(1-sqrt(ax))dx

[" 0.",int sin^(-1)sqrt((x)/(a+x))dx" is equal to "],[," 1) "(x+a)tan^(-1)sqrt((x)/(a))-sqrt(ax)+C],[" 3) "(x+a)cot^(-1)sqrt((x)/(a))-sqrt(ax)+C," 2) "(x+a)tan^(-1)sqrt((x)/(a))+sqrt(ax)+C]

If f(x)=sqrt(ax)+(a^2)/(sqrt(ax)) , then f^ (a)=

If f(x)=sqrt(ax)+(a^2)/(sqrt(ax)) , then f^ (a)=

The value of f(0), so that 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 ………..