this is for holding javascript data
Veva Garcia edited untitled.tex
about 8 years ago
Commit id: 5bf6f597cdc94c6d4124f248d2ca4036b505275a
deletions | additions
diff --git a/untitled.tex b/untitled.tex
index f2aeae0..09932eb 100644
--- a/untitled.tex
+++ b/untitled.tex
...
$$\int_{c[-2,3]} \frac{dz}{z^2-2z-8}=\frac{-\pi i}{3}$$
By Theorem 4.23 (Cauchy's Theorem): if f is holomorphic in $\mathbb{C}\setminus\left\{-2\right\}$ and $C[0,3] ~\mathbb{C}\setminus\left\{-2\right\} C[-2,3]$
then
$$\int_{c[0,3]} $\int_{c[0,3]} \frac{dz}{z^2-2z-8=
\int_{c[-2,3]}\frac{dz}{z^2-2z-8}$$ \int_{c[-2,3]}\frac{dz}{z^2-2z-8}$