Let C be the circle of radius π/4, centered at z = \(\frac{1}{4}\) in the complex z-plane that is traversed counter-clockwise. The value of the contour integral ∮c \(\frac{{{{\rm{z}}^{\rm{2}}}}}{{{\rm{si}}{{\rm{n}}^{\rm{2}}}{\rm{4z}}}}\)dz is
1
0
2
\(\frac{{{\rm{i}}{{\rm{\pi }}^2}}}{4}\)
3
\(\frac{{{\rm{i}}{{\rm{\pi }}^2}}}{{16}}\)
4
\(\frac{{{\rm{i\pi }}}}{4}\)