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Fundamental theorem of calculus: Revision history


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  • curprev 07:1307:13, 5 July 2024 Mstf221 talk contribs 31,624 bytes −174 Same argument as before; high school students wrote this article? undo Tags: Reverted Visual edit Mobile edit Mobile web edit
  • curprev 07:0507:05, 5 July 2024 Mstf221 talk contribs 31,798 bytes −125 A counter-example: let f be a function on [0, 2] such that f(1) = 1 and f(x) = 0 for the rest of the points. Then, f is Riemann Integrable on [0, 2] yet it does not even have an antiderivative (indefinite integral) on [0, 2]; i.e., there is no function g on [0, 2] such that g' = f. The FTC (first and second) does not claim that derivatives and integrals are inverses of each other but under certain condition there is a relation beetween derivative, indefinite integrals, and definite integral. undo Tags: Reverted Visual edit Mobile edit Mobile web edit

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  • curprev 17:2617:26, 26 April 2024 Tsember talk contribs m 33,142 bytes +108 Removed focus on time derivative outside of the example. Changed notation in summation for better (but not complete) consistency with summation rather than integegration. #article-section-source-editor undo Tags: Mobile edit Mobile app edit
  • curprev 17:0017:00, 26 April 2024 Tsember talk contribs m 33,034 bytes +178 Broke up string of equality and inequality that was too long to fully display. Change necessitated addition of minimal text. #article-section-source-editor undo Tags: Mobile edit Mobile app edit

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