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]
High School Mathematics Questions and Answers. Feel free to use the Search bar for this site, just below. The list of Labels in the right hand column below is also useful. Most of the questions on this site are from NSW, Australia curriculum.
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