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Identify $u, d u,$ and the formula from Appendix $D$ that would be used to complete the integration. Do not integrate.$$\int x^{5} \ln x^{3} d x$$
Calculus 1 / AB
Chapter 28
Methods of Integration
Section 11
Integration by Use of Tables
Integrals
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University of Nottingham
Boston College
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all right. Finding our anti derivative were given our part. So we just need to evaluate. We know you prime doing people to one over X and V is going to be X to the fourth over. Four. Going from here, we can plug this into our integration by parts formula, make it next to the fourth over four Ellen of X minus the integral of one over x times x to the fourth over four d X. We can simplify this down a little bit, giving us one over four times integral of Ex Cubes DX, which this is fairly easy to evaluate, needed extra fourth over four Ellen of X minus one over four times next to the fourth over. Four plus C, which we can then simplify down too x to the fourth over four Ellen of X minus Extend the fourth over 16 cost. See
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