Using a CAS that evaluates midpoint approximations and graphs the corresponding rectangles (use middlesum and middlebox commands in Maple), apply the Midpoint Rule with $n = 10, 20, 30$ to approximate the value of the integral $$\int_{0}^{\,1} {\sin(x^2)}\, dx$$ Give your answer correct to seven decimal points.

$M_{10} =$

$M_{20} =$

$M_{30} =$