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This is an incomplete list. I'm trying to add to it as I go.

everything with the remember tag as well as the representations of the various DE, they start with de_

Also remember the following:

derivatives of trigs

$\frac{d}{dx}\tan(x)=sec^2(x)$

$\frac{d}{dx}sec(x)=sec(x)\tan(x)$

$\frac{d}{dx}\csc=-\csc x\cot x$

$\frac{d}{dx}\cot (x)=-\csc^2(x)$

integrals of trigs

$\int \tan(x) \, dx=\ln\mid \sec(x)\mid+C$

$\int sec(x) \, dx=\ln\mid sec(x)+\tan(x)\mid+C$

$\int \csc x \, dx=-\ln|\csc x+\cot x|+C$

$\int \cot x \, dx=-\ln|\csc x|+C$

Integrals:

$\int \frac{1}{1+x^2} \, dx=\arctan(x)+C$

integration by parts

LIATE log, inv trig, algebraic, trig, exp

set u to the first in the list above

$\int u(x)v'(x) \, dx=uv-\int u'(x)v(x) \, dx$

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