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. [0/3 Points] rDETAILi] PREVIOUS ANSWERS SCALCET9 8.2.003. 1/5 Submissions Used o The given curve is rotated about the x-axis. Set up, but do not evaluate, an integral for the area of the resulting surface by integrati x=In(ay 4+ 1), O0sys1l (a) Integrate with respect to x. (b) Integrkate with respect to y. /1 & N Y 4 ((NC'Respbflsé} o |V EsTE )y iSolution or Explanation e T ? :Z(a)x=ln(4),+1) = e&=4+1 = y=ie"—l = fl:iex = : 4 4 dx b 4 dy \2 1 d=1/1+(—) =|/ e2x il s = dx Lip e dx. When y = 0, x = 0 and when y = 1, x = In(5). Thus, by (7), In(5) In(5 S=./2"yds=_/ zzr(lex_l) i ae)arit 1 2 0 e/ i T "(Ee —E) g (O i 9 X =In(4y + 1) - _X=_4_ = ds = 1+(fi)2 b 16 ? _ dy 4y+1 \ L A 1+%(4y+ 2 dy. By (7),
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