======================================= Integrating f(x) = x^2 from 0 to 1: 1.7320508075688774 1.2247448713915892 1.00000000000000000 1.7320508075688774 1.2247448713915892 0.50000000000000000 2.4494897427831783 1.7320508075688774 0.25000000000000000 3.4641016151377548 2.4494897427831783 0.12500000000000000 4.8989794855663567 3.4641016151377548 6.25000000000000000E-002 6.9282032302755097 4.8989794855663567 3.12500000000000000E-002 9.7979589711327133 6.9282032302755097 1.56250000000000000E-002 13.856406460551019 9.7979589711327133 7.81250000000000000E-003 19.595917942265427 13.856406460551019 3.90625000000000000E-003 27.712812921102039 19.595917942265427 1.95312500000000000E-003 39.191835884530853 27.712812921102039 9.76562500000000000E-004 55.425625842204077 39.191835884530853 4.88281250000000000E-004 78.383671769061706 55.425625842204077 2.44140625000000000E-004 110.85125168440815 78.383671769061706 1.22070312500000000E-004 156.76734353812341 110.85125168440815 6.10351562500000000E-005 221.70250336881631 156.76734353812341 3.05175781250000000E-005 313.53468707624683 221.70250336881631 1.52587890625000000E-005 443.40500673763262 313.53468707624683 7.62939453125000000E-006 627.06937415249365 443.40500673763262 3.81469726562500000E-006 886.81001347526524 627.06937415249365 1.90734863281250000E-006 1254.1387483049873 886.81001347526524 9.53674316406250000E-007 1773.6200269505305 1254.1387483049873 4.76837158203125000E-007 2508.2774966099746 1773.6200269505305 2.38418579101562500E-007 3547.2400539010609 2508.2774966099746 1.19209289550781250E-007 5016.5549932199492 3547.2400539010609 5.96046447753906250E-008 7094.4801078021219 5016.5549932199492 2.98023223876953125E-008 10033.109986439898 7094.4801078021219 1.49011611938476563E-008 14188.960215604244 10033.109986439898 7.45058059692382813E-009 20066.219972879797 14188.960215604244 3.72529029846191406E-009 28377.920431208488 20066.219972879797 1.86264514923095703E-009 40132.439945759594 28377.920431208488 9.31322574615478516E-010 56755.840862416975 40132.439945759594 4.65661287307739258E-010 80264.879891519187 56755.840862416975 2.32830643653869629E-010 113511.68172483395 80264.879891519187 1.16415321826934814E-010 160529.75978303837 113511.68172483395 5.82076609134674072E-011 227023.36344966790 160529.75978303837 2.91038304567337036E-011 321059.51956607675 227023.36344966790 1.45519152283668518E-011 454046.72689933580 321059.51956607675 7.27595761418342590E-012 642119.03913215350 454046.72689933580 3.63797880709171295E-012 908093.45379867160 642119.03913215350 1.81898940354585648E-012 1284238.0782643070 908093.45379867160 9.09494701772928238E-013 1816186.9075973432 1284238.0782643070 4.54747350886464119E-013 2568476.1565286140 1816186.9075973432 2.27373675443232059E-013 3632373.8151946864 2568476.1565286140 1.13686837721616030E-013 5136952.3130572280 3632373.8151946864 5.68434188608080149E-014 7264747.6303893728 5136952.3130572280 2.84217094304040074E-014 10273904.626114456 7264747.6303893728 1.42108547152020037E-014 14529495.260778746 10273904.626114456 7.10542735760100186E-015 20547809.252228912 14529495.260778746 3.55271367880050093E-015 29058990.521557491 20547809.252228912 1.77635683940025046E-015 41095618.504457824 29058990.521557491 8.88178419700125232E-016 58117981.043114983 41095618.504457824 4.44089209850062616E-016 82191237.008915648 58117981.043114983 2.22044604925031308E-016 116235962.08622997 82191237.008915648 1.11022302462515654E-016 164382474.01783130 116235962.08622997 5.55111512312578270E-017 232471924.17245993 164382474.01783130 2.77555756156289135E-017 328764948.03566259 232471924.17245993 1.38777878078144568E-017 464943848.34491986 328764948.03566259 6.93889390390722838E-018 657529896.07132518 464943848.34491986 3.46944695195361419E-018 929887696.68983972 657529896.07132518 1.73472347597680709E-018 1315059792.1426504 929887696.68983972 8.67361737988403547E-019 1859775393.3796794 1315059792.1426504 4.33680868994201774E-019 2630119584.2853007 1859775393.3796794 2.16840434497100887E-019 3719550786.7593589 2630119584.2853007 1.08420217248550443E-019 5260239168.5706015 3719550786.7593589 5.42101086242752217E-020 7439101573.5187178 5260239168.5706015 2.71050543121376109E-020 10520478337.141203 7439101573.5187178 1.35525271560688054E-020 14878203147.037436 10520478337.141203 6.77626357803440271E-021 21040956674.282406 14878203147.037436 3.38813178901720136E-021 29756406294.074871 21040956674.282406 1.69406589450860068E-021 42081913348.564812 29756406294.074871 8.47032947254300339E-022 59512812588.149742 42081913348.564812 4.23516473627150170E-022 84163826697.129623 59512812588.149742 2.11758236813575085E-022 119025625176.29948 84163826697.129623 1.05879118406787542E-022 168327653394.25925 119025625176.29948 5.29395592033937712E-023 238051250352.59897 168327653394.25925 2.64697796016968856E-023 336655306788.51849 238051250352.59897 1.32348898008484428E-023 476102500705.19794 336655306788.51849 6.61744490042422140E-024 673310613577.03699 476102500705.19794 3.30872245021211070E-024 952205001410.39587 673310613577.03699 1.65436122510605535E-024 1346621227154.0740 952205001410.39587 8.27180612553027675E-025 1904410002820.7917 1346621227154.0740 4.13590306276513837E-025 2693242454308.1479 1904410002820.7917 2.06795153138256919E-025 3808820005641.5835 2693242454308.1479 1.03397576569128459E-025 5386484908616.2959 3808820005641.5835 5.16987882845642297E-026 7617640011283.1670 5386484908616.2959 2.58493941422821148E-026 10772969817232.592 7617640011283.1670 1.29246970711410574E-026 15235280022566.334 10772969817232.592 6.46234853557052871E-027 21545939634465.184 15235280022566.334 3.23117426778526435E-027 30470560045132.668 21545939634465.184 1.61558713389263218E-027 43091879268930.367 30470560045132.668 8.07793566946316089E-028 60941120090265.336 43091879268930.367 4.03896783473158044E-028 86183758537860.734 60941120090265.336 2.01948391736579022E-028 121882240180530.67 86183758537860.734 1.00974195868289511E-028 172367517075721.47 121882240180530.67 5.04870979341447555E-029 243764480361061.34 172367517075721.47 2.52435489670723778E-029 344735034151442.94 243764480361061.34 1.26217744835361889E-029 487528960722122.69 344735034151442.94 6.31088724176809444E-030 689470068302885.88 487528960722122.69 3.15544362088404722E-030 975057921444245.38 689470068302885.88 1.57772181044202361E-030 1378940136605771.8 975057921444245.38 7.88860905221011805E-031 1950115842888490.8 1378940136605771.8 3.94430452610505903E-031 2757880273211543.5 1950115842888490.8 1.97215226305252951E-031 3900231685776981.5 2757880273211543.5 9.86076131526264757E-032 5515760546423087.0 3900231685776981.5 4.93038065763132378E-032 7800463371553963.0 5515760546423087.0 2.46519032881566189E-032 11031521092846174. 7800463371553963.0 1.23259516440783095E-032 15600926743107926. 11031521092846174. 6.16297582203915473E-033 22063042185692348. 15600926743107926. 3.08148791101957736E-033 31201853486215852. 22063042185692348. 1.54074395550978868E-033 44126084371384696. 31201853486215852. 7.70371977754894341E-034 62403706972431704. 44126084371384696. 3.85185988877447171E-034 88252168742769392. 62403706972431704. 1.92592994438723585E-034 1.24807413944863408E+017 88252168742769392. 9.62964972193617927E-035 1.76504337485538784E+017 1.24807413944863408E+017 4.81482486096808963E-035 2.49614827889726816E+017 1.76504337485538784E+017 2.40741243048404482E-035 3.53008674971077568E+017 2.49614827889726816E+017 1.20370621524202241E-035 4.99229655779453632E+017 3.53008674971077568E+017 6.01853107621011204E-036 7.06017349942155136E+017 4.99229655779453632E+017 3.00926553810505602E-036 9.98459311558907264E+017 7.06017349942155136E+017 1.50463276905252801E-036 1.41203469988431027E+018 9.98459311558907264E+017 7.52316384526264005E-037 1.99691862311781453E+018 1.41203469988431027E+018 3.76158192263132003E-037 2.82406939976862054E+018 1.99691862311781453E+018 1.88079096131566001E-037 3.99383724623562906E+018 2.82406939976862054E+018 9.40395480657830006E-038 5.64813879953724109E+018 3.99383724623562906E+018 4.70197740328915003E-038 7.98767449247125811E+018 5.64813879953724109E+018 2.35098870164457502E-038 1.12962775990744822E+019 7.98767449247125811E+018 1.17549435082228751E-038 1.59753489849425162E+019 1.12962775990744822E+019 5.87747175411143754E-039 2.25925551981489644E+019 1.59753489849425162E+019 2.93873587705571877E-039 3.19506979698850324E+019 2.25925551981489644E+019 1.46936793852785938E-039 4.51851103962979287E+019 3.19506979698850324E+019 7.34683969263929692E-040 6.39013959397700649E+019 4.51851103962979287E+019 3.67341984631964846E-040 9.03702207925958574E+019 6.39013959397700649E+019 1.83670992315982423E-040 1.27802791879540130E+020 9.03702207925958574E+019 9.18354961579912116E-041 1.80740441585191715E+020 1.27802791879540130E+020 4.59177480789956058E-041 2.55605583759080260E+020 1.80740441585191715E+020 2.29588740394978029E-041 3.61480883170383430E+020 2.55605583759080260E+020 1.14794370197489014E-041 5.11211167518160519E+020 3.61480883170383430E+020 5.73971850987445072E-042 7.22961766340766859E+020 5.11211167518160519E+020 2.86985925493722536E-042 1.02242233503632104E+021 7.22961766340766859E+020 1.43492962746861268E-042 1.44592353268153372E+021 1.02242233503632104E+021 7.17464813734306340E-043 2.04484467007264208E+021 1.44592353268153372E+021 3.58732406867153170E-043 2.89184706536306744E+021 2.04484467007264208E+021 1.79366203433576585E-043 4.08968934014528415E+021 2.89184706536306744E+021 8.96831017167882925E-044 5.78369413072613487E+021 4.08968934014528415E+021 4.48415508583941463E-044 8.17937868029056831E+021 5.78369413072613487E+021 2.24207754291970731E-044 1.15673882614522697E+022 8.17937868029056831E+021 1.12103877145985366E-044 1.63587573605811366E+022 1.15673882614522697E+022 5.60519385729926828E-045 2.31347765229045395E+022 1.63587573605811366E+022 2.80259692864963414E-045 3.27175147211622732E+022 2.31347765229045395E+022 1.40129846432481707E-045 4.62695530458090790E+022 3.27175147211622732E+022 7.00649232162408535E-046 6.54350294423245465E+022 4.62695530458090790E+022 3.50324616081204268E-046 9.25391060916181580E+022 6.54350294423245465E+022 1.75162308040602134E-046 1.30870058884649093E+023 9.25391060916181580E+022 8.75811540203010669E-047 1.85078212183236316E+023 1.30870058884649093E+023 4.37905770101505335E-047 2.61740117769298186E+023 1.85078212183236316E+023 2.18952885050752667E-047 3.70156424366472632E+023 2.61740117769298186E+023 1.09476442525376334E-047 5.23480235538596372E+023 3.70156424366472632E+023 5.47382212626881668E-048 7.40312848732945264E+023 5.23480235538596372E+023 2.73691106313440834E-048 1.04696047107719274E+024 7.40312848732945264E+023 1.36845553156720417E-048 1.48062569746589053E+024 1.04696047107719274E+024 6.84227765783602085E-049 2.09392094215438549E+024 1.48062569746589053E+024 3.42113882891801043E-049 2.96125139493178106E+024 2.09392094215438549E+024 1.71056941445900521E-049 4.18784188430877097E+024 2.96125139493178106E+024 8.55284707229502607E-050 5.92250278986356211E+024 4.18784188430877097E+024 4.27642353614751303E-050 8.37568376861754195E+024 5.92250278986356211E+024 2.13821176807375652E-050 1.18450055797271242E+025 8.37568376861754195E+024 1.06910588403687826E-050 1.67513675372350839E+025 1.18450055797271242E+025 5.34552942018439129E-051 2.36900111594542484E+025 1.67513675372350839E+025 2.67276471009219565E-051 3.35027350744701678E+025 2.36900111594542484E+025 1.33638235504609782E-051 4.73800223189084969E+025 3.35027350744701678E+025 6.68191177523048912E-052 6.70054701489403356E+025 4.73800223189084969E+025 3.34095588761524456E-052 9.47600446378169938E+025 6.70054701489403356E+025 1.67047794380762228E-052 1.34010940297880671E+026 9.47600446378169938E+025 8.35238971903811139E-053 1.89520089275633988E+026 1.34010940297880671E+026 4.17619485951905570E-053 2.68021880595761342E+026 1.89520089275633988E+026 2.08809742975952785E-053 3.79040178551267975E+026 2.68021880595761342E+026 1.04404871487976392E-053 5.36043761191522685E+026 3.79040178551267975E+026 5.22024357439881962E-054 7.58080357102535950E+026 5.36043761191522685E+026 2.61012178719940981E-054 1.07208752238304537E+027 7.58080357102535950E+026 1.30506089359970491E-054 1.51616071420507190E+027 1.07208752238304537E+027 6.52530446799852453E-055 2.14417504476609074E+027 1.51616071420507190E+027 3.26265223399926226E-055 3.03232142841014380E+027 2.14417504476609074E+027 1.63132611699963113E-055 4.28835008953218148E+027 3.03232142841014380E+027 8.15663058499815566E-056 6.06464285682028760E+027 4.28835008953218148E+027 4.07831529249907783E-056 8.57670017906436295E+027 6.06464285682028760E+027 2.03915764624953891E-056 1.21292857136405752E+028 8.57670017906436295E+027 1.01957882312476946E-056 1.71534003581287259E+028 1.21292857136405752E+028 5.09789411562384729E-057 2.42585714272811504E+028 1.71534003581287259E+028 2.54894705781192364E-057 3.43068007162574518E+028 2.42585714272811504E+028 1.27447352890596182E-057 4.85171428545623008E+028 3.43068007162574518E+028 6.37236764452980911E-058 6.86136014325149036E+028 4.85171428545623008E+028 3.18618382226490455E-058 9.70342857091246016E+028 6.86136014325149036E+028 1.59309191113245228E-058 1.37227202865029807E+029 9.70342857091246016E+028 7.96545955566226139E-059 1.94068571418249203E+029 1.37227202865029807E+029 3.98272977783113069E-059 2.74454405730059614E+029 1.94068571418249203E+029 1.99136488891556535E-059 3.88137142836498407E+029 2.74454405730059614E+029 9.95682444457782673E-060 5.48908811460119229E+029 3.88137142836498407E+029 4.97841222228891337E-060 7.76274285672996813E+029 5.48908811460119229E+029 2.48920611114445668E-060 1.09781762292023846E+030 7.76274285672996813E+029 1.24460305557222834E-060 1.55254857134599363E+030 1.09781762292023846E+030 6.22301527786114171E-061 2.19563524584047692E+030 1.55254857134599363E+030 3.11150763893057085E-061 3.10509714269198725E+030 2.19563524584047692E+030 1.55575381946528543E-061 4.39127049168095383E+030 3.10509714269198725E+030 7.77876909732642713E-062 6.21019428538397450E+030 4.39127049168095383E+030 3.88938454866321357E-062 8.78254098336190766E+030 6.21019428538397450E+030 1.94469227433160678E-062 1.24203885707679490E+031 8.78254098336190766E+030 9.72346137165803392E-063 1.75650819667238153E+031 1.24203885707679490E+031 4.86173068582901696E-063 2.48407771415358980E+031 1.75650819667238153E+031 2.43086534291450848E-063 3.51301639334476307E+031 2.48407771415358980E+031 1.21543267145725424E-063 4.96815542830717960E+031 3.51301639334476307E+031 6.07716335728627120E-064 7.02603278668952613E+031 4.96815542830717960E+031 3.03858167864313560E-064 9.93631085661435921E+031 7.02603278668952613E+031 1.51929083932156780E-064 1.40520655733790523E+032 9.93631085661435921E+031 7.59645419660783900E-065 1.98726217132287184E+032 1.40520655733790523E+032 3.79822709830391950E-065 2.81041311467581045E+032 1.98726217132287184E+032 1.89911354915195975E-065 3.97452434264574368E+032 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7.81250000000000000E-003 9.7979589711327133 8.7635609200826572 1.56250000000000000E-002 6.9282032302755097 6.1967733539318672 3.12500000000000000E-002 4.8989794855663567 4.3817804600413286 6.25000000000000000E-002 3.4641016151377548 3.0983866769659336 0.12500000000000000 2.4494897427831783 2.1908902300206643 0.25000000000000000 1.7320508075688774 1.5491933384829668 0.50000000000000000 1.2247448713915892 1.0954451150103321 Integral = 1.9995161175042031 Error = 7.91565754087524519E-003 Number of function calls = 4292 2.0000000 ======================================= Integrating f(x) = ln(x)/sqrt(x) from 0 to 1: Integral = 1.9995161175042031 Error = 7.91565754087524519E-003 Number of function calls = 0