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Integrate each of the functions.$$\int\left(x^{2}+1\right)^{3}(2 x d x)$$
Calculus 1 / AB
Chapter 28
Methods of Integration
Section 1
The General Power Formula
Integrals
Missouri State University
Campbell University
Harvey Mudd College
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we want to integrate the following the indefinite integral of X squared plus one cube terms two X. Ds. This question is testing our knowledge of methods and integration uh such. We need to have a proper understanding of integration as well as nuanced methods in order to proceed. This particular problem in section is testing our knowledge of what's known as the power rule for integration. The power to rule for integration states that the integral of U. To the N. D. U. Is U. To the N plus one over N plus one plus E. So if we identify in this problem, what are you? Is R N is an R. D. U. Is we can successfully use the power rule to integrate so we can identify that U. Is X squared plus one. Do you? Is two X dx and N is equal to three. This is because two x dx derivative of x squared +11 has no derivative. Thus we have by the power rule are integral X squared plus one to the fourth over four plus C.
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