JSFH

Cap\303\255tulo 17-Integra\303\247\303\243o Monte Carlo

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==

A Se\303\247\303\243o 15.4 discute o m\303\251todo de integra\303\247\303\243o de Monte Carlo. O m\303\251todo Monte Carlo \303\251 uma t\303\251cnica que s\303\263 pode ser usada com um computador. N\303\243o ser\303\241 algo em que passamos muito tempo. No entanto, \303\251 interessante ver um exemplo trabalhado.

Precisamos come\303\247ar definindo a fun\303\247\303\243o e a caixa em que usamos o m\303\251todo.

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

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJmR0YoZio2I0kieEdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoLUklc3FydEdGJTYjLCYiIiJGOCokOSQiIiMhIiJGKEYoRig3I0Yu

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

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJmR0YoZio2I0kieEdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoLUklc3FydEdGJTYjLCYiIiJGOCokOSQiIiMhIiJGKEYoRig3I0Yu

Parece bom olhar para o gr\303\241fico da fun\303\247\303\243o no ret\303\242ngulo.

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

6+-%'CURVESG6$7dw7$$""!!""$"#5!""7$$"1Gc7D]gd_!#=$"1d=*pyh)****!#;7$$"1KhAX!>A$)*!#=$"1'pgci;&****!#;7$$"1(Qxa4&o(\"!#<$"1D)ynSy))***!#;7$$"2117C[eb,#!#=$"1%ojcboz***!#;7$$"2%)oPv]q4`#!#=$"1R.0"e'z'***!#;7$$"2P!3;KM#)3I!#=$"1l([eYsa***!#;7$$"1KkGdCh.N!#<$"1$=!=l/'Q***!#;7$$"1sV([(RK:S!#<$"1<ruM`$>***!#;7$$"1yc8FWRDX!#<$"1jnza^v*)**!#;7$$"2Nd9Hek+0&!#=$"1HdL$GSs)**!#;7$$"1V&3<M%>7b!#<$"1JO9*H'z%)**!#;7$$"1v[(\*HWKg!#<$"06KBB)y")**!#:7$$"0)f>Ry#[b'!#;$"1'=x0*R\y**!#;7$$"103;KCCeq!#<$"1c5Z0&f](**!#;7$$"1jFb56R:v!#<$"07x(e%><(**!#:7$$"1Qw_0^)*e!)!#<$"1<>"3[tu'**!#;7$$"1lIhA0[>&)!#<$"1&zHZ8VO'**!#;7$$"1Y"He;Y^0*!#<$"1jL]wx"*e**!#;7$$"1Gc7D5IH&*!#<$"0$)4^m#\a**!#:7$$"2#Qw_0C&\+"!#<$"1^sd!Rv$\**!#;7$$"2^+,-%**[a5!#<$"1d/<HrCW**!#;7$$"2--/3;xh5"!#<$"1._R#HI'Q**!#;7$$"2"3;Kk@k`6!#<$"1vk]$fKK$**!#;7$$"2Hd9HeR[?"!#<$"1R#GGu_r#**!#;7$$"29Ig?J>!e7!#<$"1TSZ&y`0#**!#;7$$"2`18EU7VI"!#<$"1YjZrNd9**!#;7$$"2jD^-D5VN"!#<$"1r@"*px'y!**!#;7$$"2@Y#\)*G'fS"!#<$"1$y+\4q1!**!#;7$$"2BW)oP\\c9!#<$"1F2^ZDO$*)*!#;7$$"1)f>RG(Q0:!#;$"1B7,D6/'))*!#;7$$"2CY#\)*Qnf:!#<$"1cdO[?ix)*!#;7$$"2X!4=OGX3;!#<$"/Y#QK'zp)*!#97$$"2c4>QwM0m"!#<$"1;&Q;\n6')*!#;7$$"2(yd:J(Gxq"!#<$"1")*)Q5U5`)*!#;7$$"2b2:I?C$f<!#<$"1*R3zYAS%)*!#;7$$"2u_06_ry!=!#<$"/W/YCAN)*!#97$$"2)>Rycuhe=!#<$"0YZA1fd#)*!#:7$$"206AW)3B3>!#<$"1W@GRWC;)*!#;7$$"218E_ar,'>!#<$"1Ms=mY+1)*!#;7$$"1sV([d'>5?!#;$"1)Q^g2sez*!#;7$$"2V#['HRa81#!#<$"1v>b'pM_y*!#;7$$"2EY#\)f)37@!#<$"0H/Z`4Wx*!#:7$$"13;Kk!3(e@!#;$"1.&z)[$>Uw*!#;7$$"2$He;L#R@@#!#<$"1f$zO2`Av*!#;7$$"2%)oPvqG*fA!#<$"1w6=d&*GT(*!#;7$$"2%pQxaA)3J#!#<$"1'osM*zKH(*!#;7$$"2_-05I^'fB!#<$"1Yo$*G_h<(*!#;7$$"2E['HfI!QT#!#<$"1X^B#*fI/(*!#;7$$"2a2:I]%pgC!#<$"12t'=*>_#p*!#;7$$"1w_06n"R^#!#;$"1&eFTTa)y'*!#;7$$"1(Rze(HUiD!#;$"1[fWEe7m'*!#;7$$"1jE`17[:E!#;$"1JfpuV!>l*!#;7$$"2/;Kk[h7m#!#<$"1r'4;5#QR'*!#;7$$"2a.29))*R8F!#<$"1A@IRc$[i*!#;7$$"1D\)p*HwjF!#;$"1b_Z(*\\5'*!#;7$$"2%*yd:@$49G!#<$"1w&3/Dyef*!#;7$$"1f<Nq#QU'G!#;$"1'yO1<I5e*!#;7$$"1MoOt>T7H!#;$"1C>Rjl\m&*!#;7$$"1`06A!*[kH!#;$"0-d=:([]&*!#:7$$"1T"GcAAT,$!#;$"1#G:rGR\`*!#;7$$"2(ze<N)ej1$!#<$"1cUoL*o#=&*!#;7$$"1V'GdaXO6$!#;$"11&*o>a!H]*!#;7$$"2lKlI@1f;$!#<$"1P6u"pAc[*!#;7$$"1T"Gc#G'f@$!#;$"1-YEF)o(o%*!#;7$$"1v\**)f(*eE$!#;$"1=8j5>m^%*!#;7$$"1$e;Lma!=L!#;$"1`(y>KyMV*!#;7$$"224=OA$4mL!#<$"1)HNl$RW;%*!#;7$$"0,-/G"H:M!#:$"1&*3$[!>r)R*!#;7$$"1BX!4y6'pM!#;$"1-br;\zy$*!#;7$$"1=OsWXz=N!#;$"1r-,XKXg$*!#;7$$"2$He;LJ4pN!#<$"1(Gu'y.RT$*!#;7$$"2005?]X-i$!#<$"1UsG/co@$*!#;7$$"2Md9H[ksm$!#<$"1Bdb$>)G.$*!#;7$$"2$\)pR>&Q<P!#<$"1;'Q2yuLG*!#;7$$"1tX"HQCrw$!#;$"1H)\l`-LE*!#;7$$"1d8Fa)H.#Q!#;$"1z#yF)o[T#*!#;7$$"1Z%*)yP"GnQ!#;$"1M-C*oP>A*!#;7$$"1OsW*o`9#R!#;$"1l645E.*>*!#;7$$"2Fg?T-S.(R!#<$"19dH6!R!y"*!#;7$$"2Z#\)p\5(=S!#<$"1K?&Gqip:*!#;7$$"2:OsWHC22%!#<$"1\Lh>)eR8*!#;7$$"2DY#\)\[H7%!#<$"1`zZ)o/06*!#;7$$"1'Gd9zk/<%!#;$"1'z,4g^))3*!#;7$$"2%)f>R)\#4A%!#<$"1'Q0!*oFb1*!#;7$$")#p,F%!")$"1\\BUjVU!*!#;7$$"2Pu[(\/bBV!#<$"1Ek`=X.<!*!#;7$$"14=Os+upV!#;$"1YP"fLTZ**)!#;7$$"1He;L0zAW!#;$"0sE'Q\xo*)!#:7$$"1#Qw_vgEZ%!#;$"1h\h!\4S%*)!#;7$$"2b8FaG\?_%!#<$"1twDo19>*)!#;7$$"18E_/rZrX!#;$"1h*4M'y!R*))!#;7$$"29Gc7N!*=i%!#<$"1kqZ]U"y'))!#;7$$"117C[vKvY!#;$"1Hrk![d(R))!#;7$$"1Gc7DUKCZ!#;$"14d]k*oO"))!#;7$$"1<MoO-psZ!#;$"1FkebBd(y)!#;7$$"2b<Nqq#RC[!#<$"1Z5?2UHf()!#;7$$"1T"Gci#)f([!#;$"1ziCb6oI()!#;7$$"22.17k(GA\!#<$"1\LJu(eYq)!#;7$$"1%yc8FRr(\!#;$"1Wo/;DTt')!#;7$$"1'Hf=dOI-&!#;$"1@;!>&H"pk)!#;7$$"1-05?'=n2&!#;$"1()3g&40bh)!#;7$$"1nLnMH&z7&!#;$"1_lnD"4^e)!#;7$$"1sV([2*pt^!#;$"1Xi(Rq=wb)!#;7$$"0&)pRRX^A&!#:$"1r6^[PIE&)!#;7$$"1;LmKF$pF&!#;$"1w*p=%*\V\)!#;7$$"1ze<NRZG`!#;$"1tg`PN6i%)!#;7$$"0>QwAfiP&!#:$"1/+L=Z$=V)!#;7$$"1b2:I"QdU&!#;$"1&\MQH"3+%)!#;7$$"1[&4>G4pZ&!#;$"1%fm#>t!oO)!#;7$$"1yc8Fj"z_&!#;$"1r=LI^>L$)!#;7$$"1nNrULQ!e&!#;$"1awv1<:)H)!#;7$$"1lHf=jfEc!#;$"1D(G&)e')oE)!#;7$$"1)f>R=@'yc!#;$"1NJ9LpBJ#)!#;7$$"14<Mo'f3t&!#;$"1n&o+c_\>)!#;7$$"1">Qw7,7y&!#;$"1tTgXn^f")!#;7$$"1'Qxa*f"p#e!#;$"1&\S\hLp7)!#;7$$"1u[(\Rv7)e!#;$"0*G)\(>o(3)!#:7$$"1<MoO\KFf!#;$"1V6/%)R*R0)!#;7$$"1E]+,:*3)f!#;$"02U-y&H9!)!#:7$$"1uY$p)pIGg!#;$"1ZHm+8pyz!#;7$$"1\(\**GH.3'!#;$"1J>xp!="Rz!#;7$$"1;JiCo')Hh!#;$"1;"G^RK4!z!#;7$$"1JhAXSb"='!#;$"1Z,39"f0'y!#;7$$"1>Pu[!>!Hi!#;$"0r7G`**H#y!#:7$$"1$oOtY;-G'!#;$"1>9`%pe>y(!#;7$$"18C['>'RLj!#;$"1AoiI(R(Qx!#;7$$"1x^.2$*ozj!#;$"1,YOO5i+x!#;7$$"1mLnMroHk!#;$"0p`^UC*ew!#:7$$"1sX"HyR8['!#;$"1-+_mKE:w!#;7$$"1`06A=(=`'!#;$"0"HTrZ'>d(!#:7$$"13<MoTw!e'!#;$"1%yC*o9^Hv!#;7$$"1tX"Hy]]j'!#;$"/fE"z<<[(!#97$$"1:Ig?(HQo'!#;$"1:Kp!=t"Qu!#;7$$"117C[;"ft'!#;$"1tmI([T5R(!#;7$$"1*)yd:c5$y'!#;$"1O0?wKvZt!#;7$$"1&=Pu3,Z$o!#;$"1hC%***\y*H(!#;7$$"1Rw_0%[K)o!#;$"1C@\ue-as!#;7$$"0.17M%*R$p!#:$"1zq>cT`0s!#;7$$"1@U%)oxg$)p!#;$"1s=9B#fu:(!#;7$$"1U#['H%[b.(!#;$"1iqpi'4k5(!#;7$$"1$['HfMd&3(!#;$"1-i>YB`cq!#;7$$"1MpQx7tOr!#;$"1.3nQ))y/q!#;7$$"1tX"H[lu=(!#;$"1<,Jk<s_p!#;7$$"1=Pu[\3Ms!#;$"1)p$H-F?/p!#;7$$"1Rze<h^(G(!#;$"1J,a28yZo!#;7$$"/)f>f0`L(!#9$"1Y*G6rklz'!#;7$$"0)f>R"fiQ(!#:$"1Y9H&Qb6u'!#;7$$"1OrU&=G]V(!#;$"1'H]w+Gto'!#;7$$"1#f=P%*z"*[(!#;$"1uMFxoiEm!#;7$$"1&=PuQrg`(!#;$"1LVP\4Dtl!#;7$$"1(Qxaf$H*e(!#;$"08jfiH<^'!#:7$$"12:Ig)*zPw!#;$"1z@/6nwak!#;7$$"1tZ&44e3p(!#;$"1C#4hPb9R'!#;7$$"1sU&3PQmt(!#;$"17]&p'H'fL'!#;7$$"1X"Heww()y(!#;$"0MyUke<F'!#:7$$"1OqS"))R"Ry!#;$"1_uC"Q%p3i!#;7$$"/*zf4q%*)y!#9$"0b_ZS7Y9'!#:7$$"1pQxa^hRz!#;$"1j3Z)=!ozg!#;7$$"1Y*)yd))y()z!#;$"1%z%f*4Zi,'!#;7$$"1kE`1f')R!)!#;$"1/xtmUZYf!#;7$$"1^-05"*\*3)!#;$"1$Q;btv(ye!#;7$$"0*zf>dtT")!#:$"0US&*e:i!e!#:7$$"1a2:IC-*=)!#;$"1=Q-V-LRd!#;7$$"1Pu[(4$GT#)!#;$"1C"Rl]JSm&!#;7$$"1_-05(R8H)!#;$"1r_7.'*\!f&!#;7$$"1'3<M[u7M)!#;$"1D"=5a<d^&!#;7$$"1$pQxaJMR)!#;$"1'>OTR>gV&!#;7$$"1,-/3,ZT%)!#;$"1ac2Yw6h`!#;7$$"1@T#[;o1\)!#;$"1BscJZ&GG&!#;7$$"1LmKl'))\a)!#;$"1sG`yD`%>&!#;7$$"1Hd9H9<%f)!#;$"1e]ix/v7^!#;7$$"0%ze<+ZW')!#:$"10p&=hRs-&!#;7$$"1h@V'QAcp)!#;$"2mx@FiL#Q\!#<7$$"1%oOtOTEu)!#;$"1AJ3A`]a[!#;7$$"0'>Ry?w#z)!#:$"1crr.C7jZ!#;7$$"1%oOtE,D%))!#;$"2E7%[:h8qY!#<7$$"1nMpQnq&*))!#;$"2&*Hv(ec(zc%!#<7$$"1e:Ji#eE%*)!#;$"29'G#ezh`Z%!#<7$$"1[$pQdIo**)!#;$"2E0TS$pVlV!#<7$$"19Fa3prX!*!#;$"2FuruS:KE%!#<7$$"1OqS"Q(3%4*!#;$"2NZQ(3`.fT!#<7$$"1tW*)y65Y"*!#;$"1'pJR/pL/%!#;7$$"1tX"HQD$)>*!#;$"1L(HSI7J#R!#;7$$"1(RzenTeC*!#;$"1CwZK%y(4Q!#;7$$"14<Mo=I'H*!#;$"1$H.hZQ\o$!#;7$$"06AW3YbM*!#:$"2:iO.N(>eN!#<7$$"1b3<Mt#*)R*!#;$"2.]-8P)p9M!#<7$$"1>Rycp6X%*!#;$"2<K`E(yx%G$!#<7$$"1Rze<u;)\*!#;$"2%*\(=1!p!GJ!#<7$$"1$\)pRw.[&*!#;$"1zhTf*oB(H!#;7$$"1Z#\)phU(f*!#;$"2DnZ!>&4)3G!#<7$$"1CZ%*))R&ok*!#;$"2'3Bddy/ME!#<7$$"1#RycBnsp*!#;$"2&HrcSr#>W#!#<7$$"1;LmKWq](*!#;$"198#**Rb*=A!#;7$$"1Rxa46q*z*!#;$"2\4>#\iW"*>!#<7$$"1Gb5@r1[)*!#;$"2k0,"33aO<!#<7$$"1(Gd9fp(**)*!#;$"2lt<Jk*G79!#<7$$"0D]+^f8&**!#:$"06QO666&)*!#;7$$"#5!""$""!!""-%&COLORG6'%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%%VIEWG6$;$""!!""$"#5!"";$""!!""$"#5!""-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"y6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%*AXESSTYLEG6#%$BOXG-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"G6"

Em seguida, precisamos de uma maneira de escolher um ponto aleat\303\263rio. O comando Maple rand () fornece um n\303\272mero inteiro positivo aleat\303\263rio de 12 d\303\255gitos. Para converter para um n\303\272mero aleat\303\263rio entre aeb, usamos a + (b-a) * rand () / 10 ^ 12.

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

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZyYW5keEdGKCQiKzAnKT1kUiEjNTcjRi4=

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZyYW5keUdGKCQiK2siKVJKPiEjNTcjRi4=

SSV0cnVlRyUqcHJvdGVjdGVkRw==

Agora queremos colocar isso em um loop, tente v\303\241rias vezes e ver como funciona. Observando o gr\303\241fico, vemos que a resposta correta \303\251 Pi / 4.

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

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVwcm9iR0YoJCIrKysrSXchIzU3I0Yu

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSdhbnN3ZXJHRigkIitOOylSJnkhIzU3I0Yu

Para facilitar a modifica\303\247\303\243o do problema e da experi\303\252ncia, todos os comandos necess\303\241rios s\303\243o repetidos em um bloco.

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

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJmR0YoZio2I0kieEdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoLUklc3FydEdGJTYjLCYiIiJGOCokOSQiIiMhIiJGKEYoRig3I0Yu

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVwcm9iR0YoJCIrKysrZzohIio3I0Yu

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSdhbnN3ZXJHRigkIitGanpxOiEiKjcjRi4=