Integration using Tables of Integrals: Example 3

in mathematics •  3 months ago  (edited)

In this video I go over another example on using tables for integrals and go over the integral of the function x3sin(x). In this example I show that sometimes the exact formula can not be found in a table but there are ways of simplifying the integral using another integral formula. The integral of this example involves using the trigonometric integral reduction formula to reduce the power of the x3 until we get the function xsin(x) in which we can use the formula #82 in the Table of Integrals found at http://tinyurl.com/integralsmes to finally solve the integral.


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Integration using Tables of Integrals: Example 3

Integration Tables Example 3.jpeg

Use the Table of Integrals to find:

Solution:

I will be using the Table of Integrals found in my calculus book and you can view that table by going to the URL: tinyurl.com/integralsmes

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