If `int sqrt(a^(2)-x^(2))dx=(x)/(2)sqrt(a^(2)-x^(2))+k sin^(-1)(x/a)+c`, then the value of k is-

int(dx)/(sqrt(a^(2)-x^(2)))=sin^(-1)(x/a)+C

If int (dx)/(sqrt(a^(2)-x^(2)))=k cos^(-1)""(x)/(a)+c then the value of k is-

int sqrt(a^(2)-x^(2))dx=(1)/(2)x sqrt(a^(2)-x^(2))+(1)/(2)a^(2)sin^(-1)((x)/(a))+c

If intsqrt(x^(2)-a^(2))dx=(x)/(2)sqrt(x^(2)-a^(2))+k log|x+sqrt(x^(2)-a^(2))|+C . Then the value of k is-

If int( 2^(x))/( sqrt( 1- 4^(x))) dx = k sin^(-1) ( 2^(x)) + C , then the value of k is

If int sqrt((x-2)(6-x))dx=(xsin^(-1)x)/(sqrt(1-x^(2)))+(1)/(k)log|1-x^(2)|+c , then the value of k is-

IF int sqrt(16x^(2)-9)dx=(x)/(2)sqrt(16x^(2)-9)+K*cosh^(-1)((4x)/(3))+C then K =

int(dx)/(sqrt(1-x^(2))(sin^(-1)x)^(2))

If int (dx)/((2x-7) sqrt((x-3) (x-4))) = 1/k sec^(-1) (2x-7)+ c , then the value of k is -

int(2^(x))/(sqrt(1-4^(x)))dx=k sin^(-1)2^(x)+c, then k=