From 02145437cdf462b2872c503173999a8579290c7b Mon Sep 17 00:00:00 2001 From: "Christoph J. Scherr" Date: Fri, 6 Sep 2024 17:21:12 +0200 Subject: [PATCH] AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA --- build/main.pdf | Bin 444550 -> 448448 bytes src/exercise/1.typ | 24 ++++++++++++++++++++++++ 2 files changed, 24 insertions(+) diff --git a/build/main.pdf b/build/main.pdf index a26af20d29e25e187a7990c256bdabc026b4e30e..a60b94cbcf09a17e373dac925f2d78a9598341e0 100644 GIT binary patch delta 17525 zcmbVz1yoes7cVtKNjHKFT>>*OzzovTAq^5rNC;BWA&i6q(&bgUyHh|)lu|@mLJ=c))?XOVY9T*@zX+7kVBG@1bZ8&w=ve_>YBWhkv{*^MH~=siu$byE z(qV020S?mI0D;r3YAW=y@I> z_1L>uTHy0DbcO|h2S-?CV zydZYKj2EQ+KN*4lVC2hXw9ro+PtiJ3(`>&`d&T|^dX=C zg9sviI~9Zo{k|#$5&C@<4uSu^Dhz=m0B0AF9HvlxtqbS_CQ#WAqC|VSj}MjwDgr$_Q*U+;bb%CoLgoje1R%O#YCtmqBnd=Dfd+uSG!Wsxqk8n*C+y!v z>(Qblm_Nj#68=%BN00s#`(ZIU>8HhCqk8n{e~HFqfClQ(&YxidX2~D|;7%rJ4o_H+ zUjzXc6b4|~pjKc501=Wyq5MKfq=*OvhCuL(!Ug{y7R`Uhe-2E70)`aiM<7K0YX*&g z;Qx2^J8noeXo4Og$`3;uM}riC^CN|zg2E7(D3V`9SO^G+23^Mz6a;31K&F6MGzga- z_Dfn=5Y7*WL52R8@C{%i8%;}TE{G5$%nuiY0nND}3xM=Ih4*tnxg>LbFMt1V zBab(lIE52SU&ciDpKQm|Xq@gUo8U%@9uAGVEbm%J@RiV{Tso{ry=y<+m_&JRh4=3) zH7xcEpb!iji?7GltFK9Z;d@->>2uJ;IeoUGhiAUsQGT+K%ha;lLF4~zts{BDar92w zA!_E;jKK1kO$c-Pfy`Of*;xQni{x{==1)$?8(Yxh`Nie*OE*#bZ}LO-@7+DzIWug% z_q8kin|aFVrYO_LoV&hd>5Ng^^NYNrLg@^qd&MMYdtc^hG$j4JH)SI$<{8|Wx8Ez! 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@Exercise[1, 5] +#block( + fill: luma(230), + inset: 8pt, + radius: 4pt, +[ + Calculate the following integrals using partial integration: + + #set enum(numbering: "(a)") + + $ integral (x+2) dot e^(2x) d x $ + + $ integral x^2 dot ln(x) d x $ +]) + +#set enum(numbering: "(a)") ++ $ + A &= integral (x+2) dot e^(2x) d x \ + &= integral u(x) dot v'(x) d x \ + &= u(x) dot v(x) - integral u'(x) dot v(x) d x \ + &= (x+2) dot (e^(2x) dot 1/2x) - integral e^(2x) d x \ + &= (x+2) dot (e^(2x) dot 1/2x) - e^(2x) dot 1/2x \ + &= x dot (e^(2x) dot 1/2x) + e^(2x) dot 1/2x \ +$