Answer
Does not exist.
Work Step by Step
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:
$$4-25(-1)^2=-21\lt 0, \quad 4-25(3)=-71\lt 0.$$
