Question

Evaluate the integral: PV. COs(az) 1 +r3 .

Hint: 1+x^{3}=(1+x)(1-x+x^{2}) , P.V.= principal value.

PV. COs(az) 1 +r3
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Answer #1

Conader the intral ia z (X) d here -(-is the contour consisting ok a Jar 아 radius尺.containing all、-the polu ok inkarendin Btdadis simple- pole in uppu hal an 142 Residue pole l+V3-lim (z-(Wig)) -e at C231 laz = lim スー(LivS ela( Lai5) Аз ja 2. 3 (-14V3 aVe i ( cog을 +뉴 sing Equating Real Part ω-aet , 43 S .cetan dx = 끄 eg2s(@gng. CD4) Cos (ax 3

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