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Evaluate the given sum.$$\sum_{k=1}^{8}\left(1+(-1)^{k}\right)$$

$$8$$

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 5

Sigma Notation and Areas

Integrals

University of Michigan - Ann Arbor

University of Nottingham

Boston College

Lectures

05:53

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.

40:35

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.

01:31

Find and evaluate the sum.…

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05:02

01:06

Evaluate.$$\sum_{k=1}^…

02:31

01:34

Evaluate.$$\sum_{k=0}^…

02:02

Write out and evaluate eac…

01:49

According to the question we evaluate the some we have. The given Tom is some additional. K is equal to one. Tow it. We have the Tommies K a bone K plus one when we substitute the value of Cave +12345678 and add We have the value is one upon one plus one plus do upon two plus one plus three upon three plus one plus four upon four plus one plus five upon five plus one plus six upon six plus one plus savin upon seven plus one plus eight upon eight plus one. When the soul these all the terms we have the value comes out one by two plus Taub i three plus three by four plus four by five plus five by six Less six by seven plus Sundby eight Plus it by nine When we add all the values and taking Elsom we have the conclusion is one point it toe it This is awesome Mission author Tom Kay upon K plus one two When k is equal to one toe eight

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