GAUSS, I believe, gave a very large number of forms for approximate evaluation of definite integrals between finite limits. His formulæ are all based, like Tehebycheff's rules, on the assumption that ...

in this section we're going to cover what we call the fundamental theorem of calculus and as you can guess with a title like that it's pretty darn important basically what we've done in the last ...

Definite integrals are integrals which have limits (upper and lower) and can be evaluated to give a definite answer. \[= \left[ {\frac{{ - 1}}{3}\cos (3x + \frac{\pi ...