I want this to be coded in basic python as i am a beginner coder.

Monte Carlo integration

The definite integral of a function $f(x)$ is equivalent to determining the area under the curve

$($i$.$e$.,$ bounded by the function $f(x)$ and $x-$axis$)$ between two fixed limits$.$

Monte Carlo integration is a probabilistic method for approximating the area under a curve. In

Monte Carlo integration, we first construct a rectangle that bounds the function $f(x).$ The width

of the rectangle is given by the two limits of the $x$ coordinates, and the height is given by the

maximum value of the $y$ coordinate, $y=f(x).$ Thus, the curve $f(x)$ is inside the rectangular box.

If we randomly select points $(x,y)$ inside the rectangular box, some points may fall under the

curve and some above the curve but inside the box. For a large number of random sample

points, we can say that the ratio of the two areas $[$i$.$e$.,$ the area under the curve to the total

area of the rectangle$]$ is equal to the ratio of the number of points falling under the curve to the

points falling above the curve but inside the box.

Use this information to write a Python program to approximate the definite integral,

$f(x)={\displaystyle \underset{a}{\overset{b}{}}}{x}^{3}dx$

where a and $b$ are the limits of integration supplied by the user. Define the function $f(x)$ as a

function to be called in the program. The program should take the following user$-$defined

parameters as inputs: integration limits and number of Monte Carlo sample points.