Monte Carlo Integration in R Studio | Estimating Integrals with Simulation
Welcome back to Basic Math and Engineering! 🎓
In this lesson, we explore how to use Monte Carlo simulation in R Studio to approximate definite integrals. While simple functions can be integrated directly, complex problems like double or triple integrals can be tough — that’s where simulation shines.
We’ll:
Compare exact vs. simulated integration results
Generate random points inside a rectangle and count points under the curve
Estimate the integral of
f(x)=x^2
from 0 to 3
Learn how close simulation comes to the exact solution (within 0.5%!)
This approach gives you confidence to tackle difficult integrals where analytical methods are impractical.
👉 Don’t forget to like 👍, subscribe 🔔, and share for more probability, statistics, and engineering math lessons!
#MonteCarlo #RStudio #Integration #Simulation #Statistics #Probability #NumericalMethods #STEM