Unformatted text preview: resulting complex integral as the contour expands. 3 Let p ( z ) be a polynomial with only simple poles. Explain how to use the integral I 1 = Z C z p ( z ) p ( z ) d z to ﬁnd the roots of p ( z ) . [Hint: the similar integral I was discussed in class.] 4 Show that Z 2 π cos θ + 1 cos 2 θ + 4 d x = π √ 5 using contour integration. 1...
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- Winter '08
- Complex number, branch cut, Applied Mechanics, similar integral I0, branch cut structure