Consider the definite integral

$I={\displaystyle \underset{0}{\overset{1}{}}}\frac{\sqrt[\phantom{2}]{x}}{1+x^2}dx$

Explain how you would estimate the integral above by interpreting it as the expec$-$

tation of a function of uniformly distributed random variable. You should clearly state

the function, the random variable and the Monte Carlo estimator you would use for I.