Chapter 5.4, Problem 14P

As needed, use a computer to plot graphs of figures and to check values of integrals

Express the integral $I={\displaystyle {\int }_0^{1}dx}{\displaystyle {\int }_0^{\sqrt{1-x^2}}{e}^{-x^2-y^2}}dy$ as an integral in polar coordinates $\left(r\theta \right)$ and so evaluate it.