prove-that-0-cos-x-e-2pi-x-1-dx-1-e-e-1-2- Tinku Tara June 3, 2023 Differentiation 0 Comments FacebookTweetPin Question Number 134102 by mnjuly1970 last updated on 27/Feb/21 provethat:Ο=β«0βcos(x)e2Οxβ1dx=1βe(eβ1)2 Answered by Dwaipayan Shikari last updated on 27/Feb/21 x=t22β«0βtcos(t)e2Οtβ1dt=ββn=0β«0βteβ2Οnt+it+teβ2Οntβitdt=ββn=01(2Οnβi)2+1(2Οn+i)2=14Ο2(Ο1(βi2Ο)+Ο1(i2Ο))=14Ο2(Ο2csc2Ο(i2Ο))+1=1+14(2ieβ12βe12)2=1βe(eβ1)2 Commented by mnjuly1970 last updated on 27/Feb/21 bravobravomrpayanβ¦excellentβ¦ Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: In-a-square-ABCD-a-triangle-APQ-inscribed-in-it-AP-4-cm-PQ-3-cm-and-AQ-5-cm-Point-P-is-on-the-side-BC-and-point-Q-is-on-side-CD-Find-the-area-of-the-square-ABCD-Next Next post: Question-134110 Leave a Reply Cancel replyYour email address will not be published.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.