In this video I go over another example on using tables of integrals and this time solve the integral of the function x*sqrt(x²+2x+4). Although the table of integrals that I am using (which can be downloaded at http://tinyurl.com/integralsmes), doesn’t have any formulas for integrands of the form sqrt(ax²+bx+c), we can still complete the square and use substitution to transform the function to a form of sqrt(x² + b). After transforming the function we can then use the integral number 21 in the table of integrals to solve the integral.

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Integration using Tables of Integrals: Example 4

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