Currently struggling on a lecture problem, we are coding in R, explain throughly if possible, thank you!

Simulation can be used to approximate very complicated integrals. In this problem we will use simulation to integrate the following very simple integral, J sinx ax The idea is to consider the rectangle OS X S IT and where Os y's 1. Now draw the curve y = SinX. This curve divides the rectangle into two pieces. The part above the curve and the part below the curve. The integral is calculating the area below the curve. Now pick a point uniformly inside the rectangle (the way to pick a point is to pick a point uniformly on the X axis and then pick another point uniformly on the ) axis). Do a total of 10 random experiments. Use this to estimate the value of the integral