(Solved): Compute Cz2+163dz, where C is a simple closed curve traced in the positive direction for w ...

Compute ${?}_C\frac{3}{z^2+16}dz$, where $C$ is a simple closed curve traced in the positive direction for which $?4i$ is an interior point and $4i$ is an exterior point. Compute ${?}_I\mathrm{Re}\left(z^2?4\right)dz$, where $I$ is the straight line segment from $i$ to $1?i$. Compute ${?}_C\frac{{\cos }^2(z)}{(3z?9?{)}^3}dz$, where $C$ is the circle of radius 10 centered at $z=0$ with a counterclockwise orientation. For this problem do not parametrize the curve. Compute ${?}_C\frac{2?7z}{z^2?2iz}dz$, where $C$ is the circle of radius $3/2$ centered at $z=i$ with a counterclockwise orientation. For this problem do not parametrize the curve.