Area Under the Curve Game
Drag and resize the rectangle to estimate the area under the curve y = x² between x=0 and x=3. Try to match the exact area of 9 square units! Grab the bottom-right corner to resize.
Drag the rectangle to position it under the curve. Resize it by dragging the bottom-right corner. Try to cover as much area under the curve as possible without going above it.
Learning About Area Under Curve
Estimate the area under the parabola y = x² between x=0 and x=3 by positioning and resizing a rectangle. The exact area is 9 square units.
This demonstrates the Riemann sum method of integration. By using rectangles, we approximate the area under a curve.
Try to maximize the rectangle's area while keeping it entirely below the curve. The closer your estimate is to 9, the better!
