Analytical Solution vs. Riemann Sum | Evaluating the Integration of y = x^2 | With Manim

Explore the fascinating world of calculus with a detailed visualization of the integration of y = x^2 from x=0 to x=12. In this video, we break down the integration process using the left Riemann sum with different numbers of rectangles and compare the numerical results with the analytical solution. We also demonstrate the mathematical steps involved in evaluating the definite integral. Perfect for students, educators, and anyone interested in the beauty of mathematics!

#integration #calculus #mathematics #function #differentiation #indefinite_integral #definiteintegral #riemann #manim