Let $u(x), v(x)$ be two functions of $x$.
$$ \int u(x) v'(x)\,dx=u(x) v(x)-\int u'(x) v(x)\,dx$$
or the 'quick formula'
$$ \int uv'=uv-\int u'v$$
[Remark: This is like the product rule for derivatives]
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