\(\displaystyle{\int \dfrac{1}{\sqrt{1-x^2}} \, dx}\) 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?
Problem
\(\displaystyle{\int \dfrac{1}{\sqrt{1-x^2}} \, dx}\) can be integrated by using a substitution. What answer do you get if you use
Do they both give the correct answer? If so, why?