## Calculus (3rd Edition)

The integration $$\int_ {-1}^{\sqrt 3}\frac{ dx}{\sqrt{4-25 x^2}}$$ does not exist because thefunction $\sqrt{4-25 x^2}$ is not defined at the given domain: $$4-25(-1)^2=-21\lt 0, \quad 4-25(3)=-71\lt 0.$$