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In the remaining exercises, it is assumed you will be using a spreadsheet.Do Exercise 12 with $n=8$.

(a) 2.125(b) 1.875$(c) 2$

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 4

Approximation of Areas

Integrals

Oregon State University

Idaho State University

Boston College

Lectures

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In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

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In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

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In the following exercises…

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The Try Exercises for exam…

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in problem 503 me to evaluate three m minus two end were given the conditions that em is equal to six and N is equal to negative eight. So that just means reverie through. See that m and that n in our original expression weaken substitute in those values of six and negative eight. Let's go ahead and follow through with that. So I have three times M, which we can put in as six. So three times six minus two times air value for n, which is negative. Eight. Two times Negative eight. Now we need to follow the order of the operations to make sure we get the correct result. So you do. Princz don't have any of those than we do. Exponents don't have any of those extra do multiplication and we have two cases of multiplication. So it's work those out in our next step. So have three times six, which is gonna be 18. That's gonna be minus two times native. Eight have a positive times in negative number, which leads to a negative result and two times eight is 16. So that will end up giving us negative 16. Next I have to signs next to each other. I've minus a negative, and it just makes a bit more sense for me in order to translate that into a singular sign. So minus negative is the same thing as plus a positive. The two negative signs next to each other well became a. It will become a plus sign 18 plus 16. That's the same thing this written with a different symbol, now 18 plus 16. When we simplify that down, we'll end up getting the results of 34. So from our original expression, when we evaluated with those conditions end up with the results of 34.

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