MATH116 Lecture Notes - Lecture 16: Riemann Sum, Flac, Constant Function

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Monday, november 16 lecture 28 : fundamental theorem of calculus. (refers to. Students who have mastered the content of this lecture know: the fundamental theorem of calculus, the definition of antiderivative and the general antiderivative of a function f(x), the net change of a function over an interval [a, b]. The fundamental theorem of calculus is a theorem which links differential calculus to. It shows that differentiation (finding slopes of tangent lines to a curve) and integration (computing areas of regions), two apparently unrelated processes are actually inverses of each other. Note: it is important to note that the ftc is actually two statements. We often refer to them as part i and part ii of the ftc . But different authors may choose to order them differently. So in a different text look carefully to determine how the author prefers to order them. 28. 1 the fundamental theorem of calculus (ftc) let f be continuous on the interval.

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