3 ms·
In mathematics you always try to minimize the preconditions, and the "theorem" you are looking for is likely a combination of strong special proofs. Maybe http
by eiji 16y ago
In mathematics you always try to minimize the preconditions, and the "theorem" you are looking for is likely a combination of strong special proofs.
Maybe http://en.wikipedia.org/wiki/Trapezoidal_rule http://en.wikipedia.org/wiki/Trapezoidal_rule comes closest to what you are looking for.
It states that you can approximate the definite integral using "straight lines", which includes your case, however, this rule has preconditions for the curve.
HTH
- zeynel1 16y agoThanks. This looks exactly like an "application" of my putative theorem. The trapezoidal theorem assumes that straight line and curved line are the same thing with different curvature (I think); the way a circle and ellipse are the same figure but have different eccentricity.