MAT 211 Lecture Notes - Lecture 26: Riemann Sum, Antiderivative, Mean Value Theorem
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4. 4 the fundamental theorem of calculus notes: sterling. Provide a generalization to each of the key terms listed in this section. The general limit of a riemann sum for a persistent capacity exists and is equivalent to the range (area) under the curve. In any case, the way that we can utilize the riemann sum"s limit to acquire the range under a curve isn"t helpful unless there is an approach to e ortlessly gure the estimation of this point of con nement. If you let f (x) be continuous while on a closed interval, which is still. [a, b], and then letting f (x) be f (x)"s antiderivative, which can be written as the following: The fundamental theorem of calculus would be the following: When it comes to having the total change of a function, which is f (t) in this case, from t = a to t = b, which notes the di erence to be the following:
