if `int(dx)/((2x+1)sqrt(x-2))dx=sqrta.tan^-1sqrt(b(x-2))+c` then

If int(1)/((x+1)sqrt(x-1))dx=k.tan^(-1)sqrt((x-1)/(2))+c then k =

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

int (dx)/(sqrt(2x+1)+sqrt(2x+2))

int(dx)/(sqrt(1-2x)+sqrt(3-2x)) =

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

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

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

int x sqrt(1-2x)dx

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

int (dx)/((x + 1) sqrt(x)) is equal to a) tan^(-1) sqrt(x) + C b) 2 tan^(-1) x + C c) 2 tan^(-1) (sqrt(x)) + C d) tan^(-1) (x^((3)/(2))) + C