If we allow the x to b an integer like 4 that is greater than 3, sqrt(x^2-9)-3arctan(sqrt(x^2-9)/3) results in 0.477 while sqrt(x^2-9)+3arcsin(3/x) gives 5.18
But when we substitute something for x, why do they not give the same result? And also they don't have the same derivative..!? Only the derivate of sqrt(x^2-9)-3arctan(sqrt(x^2-9)/3) results in the original integrand