Complex Integration

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  Solution also contains detailed step-by-step explanation for using the method of contour integration.

• Application of Complex Inversion Integral Formula.

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  566143 Complex Analysis - Contour integration Using contour integral methods in the complex plane and the residue theorem.

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  ln(f(z))=ln( Substitute Use the formula Therefore, dz= 2 The complex integration solutions are given. A step by step solution is provided.

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• Residue Theorem for Evaluation

  l{ {1over 2}int_{-infty}^infty {e^{2ix} over 9x^2 + 4}dx r} = $$ $$ = Re l{ {1over 18}int_{-infty}^infty {e^{2ix} over (x + 2i/3)(x - 2i/3)}dx r} . $$ Next, we shift the integration contour to the upper part of the complex plane and take the

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  Complex conjugates are indicated.