Question

Integrals Ex

Gompute thu une nteaial of the curcu l-(2s4nt, zcet) in the vecto ueld F(Xt4, -ux ey) from A C2,o) to B(0a) Ge tha double cnep1al ha Cal culate tha voume ot wcth tieyleaxy glay anua and Sowe untei sny one Clegral aft b ana an y au innaS momat of tnutta anound zaus CUcth a cal culor baoe a ooud y plane C (aauus Cndl ntr the noof puncken i en e Cn (00)) and gwen by 2- Hy Oensiy nonsta nt need 1o be aiuen euy er ene Hype a1vasalres

Please state the steps

Answer 1

C2sint cixcle Gt)= _cCst) Given 2 A (2,) t eCo, 2) fs AC 2Snt, 20st) 2-28in C) t T2 -Sint OCOst fosBCo,2 esint, 2cast) 2 Sint 2-2c0st t o ciYcle C t guns foum tT OUS Hece CD=G )) Te 2 let Then 2Sint 2 c0st fer NO The line ntegs al Ca ay) Cat E4t19)dy

[ءs +_ce) ءsit) =ر Cast (-( -راییءcest) C(2csst )( Ctno) ه عنء} مcل 2 C0st t * &iتأحم2Coyt ) C_ لا &رن »سه C +16 cost+16Sint-4 cost 2-Sst2cest بحرلن6تا﴾﴾-- (ءع شع كمنلا« 16 cosSh0=1) ر (رء(=،تا( Co-) (6