I just ran across a slightly odd story. In an old post, the (now-defunct) physics blog Flip Tomato points to an abstract for a paper in a diabetes journal that makes a curious claim. The author claims that she has found a new method (named after herself) for calculating the area under a curve by subdividing it into rectangles and triangles and adding it up. This sounds almost exactly like the trapezoid rule from first-year calculus, reported as a new discovery in 1974.
If you’re curious, you can see the abstract of the paper here.