Question

What is `f(x) = int 1/(x^2+3)` if `f(2)=1`?

Answer 1

`f(x)=int1/(x^2+3) = 1/sqrt3 tan^-1(x/sqrt3) +C`
`f(2)=1/sqrt3 tan^-1(2/sqrt3) +C=1`
`C=1-(1/sqrt3 tan^-1(2/sqrt3))~~0.505`
`f(x)=int1/(x^2+3) = 1/sqrt3 tan^-1(x/sqrt3) +0.505`