find-the-value-of-cos-ax-1-x-x-2-dx- Tinku Tara June 4, 2023 Integration 0 Comments FacebookTweetPin Question Number 33204 by prof Abdo imad last updated on 12/Apr/18 findthevalueof∫−∞+∞cos(ax)1+x+x2dx. Commented by abdo imad last updated on 13/Apr/18 letputf(a)=∫−∞+∞cos(ax)1+x+x2dxf(a)=Re(∫−∞+∞eiax1+x+x2dx)letconsiderthecomplexfunctionφ(z)=eiaz1+z+z2thepolesofφarejandj−j=ei2π3andφ(z)=eiaz(z−j)(z−j−)∫−∞+∞φ(z)dz=2iπRes(φ,j)Res(φ,j)=eiajj−j−=eia(−12+i32)2iIm(j)=e−ia2.e−a322i32=e−a32i3(cos(a2)−isin(a2))⇒∫−∞+∞φ(z)dz=2iπe−a32i3(cos(a2)−isin(a2))⇒f(a)=2π3cos(a2).e−a32. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: find-the-value-of-dt-1-t-t-2-2-Next Next post: x-n-n-x-x- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.