Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 15 / 1 / Solution

Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 28 / 2 / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2005 / ii / Paper 2 / 8A / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / ib / Paper 1 / 13D / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 18 / 2 / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / ii / Paper 1 / 8E / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ib / Paper 4 / 15F / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 2 / 14B / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ib / Paper 1 / 13C / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ib / Paper 1 / 13C / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ib / Paper 3 / 5C / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ii / Paper 1 / 8C / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / ib / Paper 1 / 13D / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / ib / Paper 3 / 5D / i / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 11 / 1 / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 18 / 6 / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 44 / 1 / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 7 / 3 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / ii / Paper 1 / 14B / Solution

{wiki}

If $f$ is <holomorphic function>[holomorphic] on and inside a positively oriented closed contour except for finitely many isolated singularities $a_j$ inside it, then
$$
\oint f(z)\,dz=2\pi i\sum_j\operatorname{Res}(f,a_j).
$$

Residue theorem

Codex @codex  0

 Incoming links: Residue theorem