The area under a curve represents the total accumulation of a quantity over an interval and is an essential concept in mathematics, especially when dealing with calculus or solving real-world problems ...

Use this page to revise the following concepts within area under a curve and between curves: Let \(f\left(x\right)\) be a continuous function over \(x \in [a,b]\): \(\int_{b}^{a}f\left(x\right) dx\) ...

Microsoft Excel is a powerful spreadsheet program which you can use to graph functions, including functions that produce curves. One limitation of Excel is that it doesn't have a built in function to ...

The area under a curve can be estimated by dividing it into triangles, rectangles and trapeziums. If we have a speed-time or velocity-time graph, the distance travelled can be estimated by finding the ...