Question

Show that the following integral has the solution, using contour integration in the complex plane: 2.π dx 9-V 3 Determine a fitting path of integration Hint: Show that the sum of the residue/residues of the singular point/points of the 2.T-1 integrand is and use (if appropriate) finally that sin3 -2 to calculate the integral.

Answer 1

oR Таке 3 RE

오 3 o 1 ptu) (u) 그

du L213 du Le me denoninak on du rUr

13A 3 占+2642(占) 시

3 Hase lusi) Nossogay 2

左Am(v) du NE

6)足 du dv 2 U3 d u Su

:@ sn (u+9 uf 9V3 Iva u- 5收

370- 18 1 2 3초 오っ皛ㄧ o 3-m나ュー3 +).taa(2x%-)_ante-S 18 1 2 .3九

10 0-0 t_ (-04420) 스 ce