\(\displaystyle{\int \dfrac{1}{\sqrt{1-x^2}} \, dx}\) can be integrated by using a substitution. What answer do you get if you use

- \(x = \sin \theta\)?
- \(x = \cos \theta\)?

Do they both give the correct answer? If so, why?

\(\displaystyle{\int \dfrac{1}{\sqrt{1-x^2}} \, dx}\) can be integrated by using a substitution. What answer do you get if you use

- \(x = \sin \theta\)?
- \(x = \cos \theta\)?

Do they both give the correct answer? If so, why?