Here is an integral table with several integrals that are just good to know. It's not comprehensive, there are so many more that could be included, but it's a decent collection. This is actually typical of what you might be provided on a Calculus 2 exam as a formula sheet. Often when you are solving integrals, any time you get one into one of the forms below, you can immediately write the associated solution, rather than computing the last steps. This is referred to as "the table method" or "solving integrals by table." There are also some trigonometric identities included, that also can be swapped anytime you see an available substitution. Usually you would use a trig identity to get an integral into one of the forms that's present in the table, to then immediately jump to a solution. You can download the PDF version here.
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