forked from Sasserisop/MATH201
25 lines
757 B
Markdown
25 lines
757 B
Markdown
This is an incomplete list. I'm trying to add to it as I go.
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everything with the #remember tag as well as the representations of the various DE, they start with #de_
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Also remember the following:
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## derivatives of trigs
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$\frac{d}{dx}\tan(x)=sec^2(x)$
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$\frac{d}{dx}sec(x)=sec(x)\tan(x)$
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$\frac{d}{dx}\csc=-\csc x\cot x$
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$\frac{d}{dx}\cot (x)=-\csc^2(x)$
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## integrals of trigs
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$\int \tan(x) \, dx=\ln\mid \sec(x)\mid+C$
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$\int sec(x) \, dx=\ln\mid sec(x)+\tan(x)\mid+C$
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$\int \csc x \, dx=-\ln|\csc x+\cot x|+C$
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$\int \cot x \, dx=-\ln|\csc x|+C$
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## Integrals:
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$\int \frac{1}{1+x^2} \, dx=\arctan(x)+C$
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## integration by parts
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LIATE -> log, inv trig, algebraic, trig, exp
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set u to the first in the list above
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$\int u(x)v'(x) \, dx=uv-\int u'(x)v(x) \, dx$
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