Math — Integration Techniques
Parts, substitution, log trick and a standard arctan form.
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\int u\,dv = uv - \int v\,du
\int f(g(x))g'(x)\,dx = \int f(u)\,du
\int \frac{f'(x)}{f(x)}\,dx = \ln|f(x)| + C
\int \frac{dx}{a^2+x^2} = \frac{1}{a}\arctan\frac{x}{a} + C