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2015_Spring_M140_TopicsList
2015_Spring_M140_TopicsList

... Integrals of polynomials and trig functions, using substitution if necessary -- Chapter 4 Review / 9-24 Integrals that involve ex or ln(x), using substitution if necessary -- 6.2 / 79-90, 6.4 / 71-80 Finding an antiderivative that satisfies an extra condition -- 3.9 / 27-32 Estimation of an integral ...
Slide 1
Slide 1

... Conclusion: Since the sum of the areas of the rectangles are smaller than the area A below the graph of ...
Calculus Jeopardy - Designated Deriver
Calculus Jeopardy - Designated Deriver

... calculations of area using anti-derivatives. What is The Fundamental Theorem of Calculus? ...
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Riemann integral



In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval. For many functions and practical applications, the Riemann integral can be evaluated by the fundamental theorem of calculus or approximated by numerical integration.The Riemann integral is unsuitable for many theoretical purposes. Some of the technical deficiencies in Riemann integration can be remedied with the Riemann–Stieltjes integral, and most disappear with the Lebesgue integral.
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