Calculate the following counterclockwise contour integrals:
\(\displaystyle\int_{|z-i|=10}\left(z+\frac1z\right)^4\,dz\);
\(\displaystyle\int_{|z|=4}\left(\frac{\sin z}{z}\right)^4\,dz\);
\(\displaystyle\int_{|z|=1/2}\frac{e^{\sin z}}{z^3\cos z}\,dz\).