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en.wikipedia.org/wiki/Integration_by_substitution

In calculus, integration by substitution, also known as u-substitution, is a method for finding integrals. Using the fundamental theorem of calculus often requires ...

So for the same reason you are able to eliminate the dx when integrating a function that does not require u-substitution, that's also why Sal can eliminate the du ...

www.mathsisfun.com/calculus/integration-by-substitution.html

"Integration by Substitution" (also called "u-substitution") is a method to find an integral, but only when it can be set up in a special way. The first and most vital ...

tutorial.math.lamar.edu/Classes/CalcI/SubstitutionRuleIndefinite.aspx

What we've done in the work above is called the Substitution Rule. ... Since we can only integrate roots if there is just an x under the root a good first guess for ...

www.mathcentre.ac.uk/resources/workbooks/mathcentre/web-integrationbysub-tony.pdf

There are occasions when it is possible to perform an apparently difficult piece of integration by first making a substitution. This has the effect of changing the ...

www.math.hmc.edu/calculus/tutorials/substitution

Computing Integrals by Substitution ... Example. Let's compute 2x(x2−1)4dx by making the substitution .... Substitute back to, Change the limits of integration:.

www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/usubdirectory/USubstitution.html

The following problems involve the method of u-substitution. It is a method for ... However, it may not be obvious to some how to integrate. \$ \displaystyle{ \int ...