[" 6."int(dx)/(sqrt(2ax-x^(2)))=a^(n)sin^(-1)[(x)/(a)-1]],[" The value of "n" is "]

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

In the equation int (dx)/sqrt(2ax - x^(2) ) = a^(2) sin ^(-1) [(x)/(a) - 1] . Find the value of n .

In the integral int(dx)/(2ax-x^(2))^(1//2)=ansin^(-1)((x)/(a)-1), the value of n should be ( by dimensions ):

int(dx)/(sqrt(2x-x^2) = a^n sin^-1[x/a-1] The value of n is You may use dimensional analysis to solve the problem.

int(sqrt(1+x^(2))-x)^(n)dx