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Konuşmacı, oyunun kurulum dizinine gidip \"metin2.cfg\" dosyasını Notepad Plus ile açarak width ve height değerlerini değiştirerek sorunu çözmeyi göstermektedir. Ayrıca, bu hatanın sebebinin bilgisayarın desteklediği frekans değerinin (örnekte 144 Hz) oyunun desteklediği frekans değerinden (60 Hz) yüksek olması olduğu ve harici bir monitör kullanarak bu sorunu çözebileceğiniz belirtilmektedir."]},"endTime":299,"title":"Metin 2 Oyununda Parametre Hatası Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Parametre Hatası ve Çözümü","list":{"type":"unordered","items":["Videoda Metin 2 oyununda parametre hatasının çözümü gösterilecek.","Oyunu açtığında çözünürlük 800x600 olarak geliyor ve bu hatayı düzeltmek için özel bir çözüm gerekiyor."]},"beginTime":0,"endTime":69,"href":"/video/preview/9532621368370609158?parent-reqid=1769571046749298-4967252677758425463-balancer-l7leveler-kubr-yp-sas-188-BAL&text=Valentin+Lvm&t=0&ask_summarization=1"},{"index":1,"title":"Çözüm Yöntemi","list":{"type":"unordered","items":["Çözüm için önce oyunun kurulduğu C diskine, Program Files klasörüne (veya masaüstüne) gidilmeli.","Metin 2 cfg dosyası bulunup 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Öğretmen, öğrencilere hitap ederek integral ile hacim hesaplama yöntemlerini anlatmaktadır.","Videoda, disk metodunun aksine döndürme ekseniyle döndürülen bölge arasında boşluk olan durumlarda kullanılan pul (wascher) metodu detaylı olarak ele alınmaktadır. Öğretmen önce teorik bilgileri vererek bu metodun nasıl çalıştığını açıklar, ardından y = 2x, y = √x ve y = 2x - x² fonksiyonlarının farklı eksenler etrafında döndürülmesiyle oluşan cisimlerin hacim hesaplamalarını örneklerle gösterir.","Videoda ayrıca x ekseni etrafında çevirme için disk metodu ve y ekseni etrafında çevirme için dış ve iç yarıçaplı bir bölge oluşturma problemi üzerinde durulmaktadır. Son olarak, bu tür karmaşık problemleri çözmek için kabuk metodu (shell metodu) adı verilen yeni bir yöntemin bir sonraki videoda anlatılacağı belirtilmektedir."]},"endTime":855,"title":"İntegral ile Hacim Hesaplama Yöntemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Disk Metodu ve Washer Metodu Arasındaki Fark","list":{"type":"unordered","items":["Disk metodunun aksine, döndürdüğümüz bölge ile döndürme eksenimiz arasında boşluk varsa washer metodunu (pul metodu) kullanırız.","Washer metodu, döndürdüğümüz şekli çevirdiğimiz zaman bir çamaşır makinesinin içini andırdığı için bu ismi almıştır.","Pul metodu, döndürdüğümüz zaman oluşan şeklin içerisinde bir boşluk oluştuğu için bu ismi almıştır."]},"beginTime":0,"endTime":37,"href":"/video/preview/9428756204765092686?parent-reqid=1769571046749298-4967252677758425463-balancer-l7leveler-kubr-yp-sas-188-BAL&text=Valentin+Lvm&t=0&ask_summarization=1"},{"index":1,"title":"Washer Metodu Nasıl Kullanılır","list":{"type":"unordered","items":["Washer metodunda, dıştaki hacmi hesaplayıp içteki hacmi hesaplayıp farkını alabiliriz veya ara kesit üzerinden hesaplayabiliriz.","Çevirdiğimiz eksen x ekseni olduğunda, içi boş bir şekil oluşur ve ara kesit bir pul gibi iki iç içe daire olur.","Hacmi hesaplamak için ara kesit alanını (A_x) bulup, verilen aralıkta integralini alırız: A_x = π(f(x)^2 - g(x)^2)."]},"beginTime":37,"endTime":163,"href":"/video/preview/9428756204765092686?parent-reqid=1769571046749298-4967252677758425463-balancer-l7leveler-kubr-yp-sas-188-BAL&text=Valentin+Lvm&t=37&ask_summarization=1"},{"index":2,"title":"Washer Metodu Formülü ve Uygulaması","list":{"type":"unordered","items":["Hacim formülü: a'dan b'ye π(f(x)^2 - g(x)^2) dx, bu formül cismin hacmini verir.","Cismin içinde oluşan boşluğun hacmini hesaplamaz, sadece kullanacağımız malzemenin hacmini verir.","Örnek olarak, y=2x ve y=√x fonksiyonlarının sınırladığı kapalı bölgeyi inceleyelim."]},"beginTime":163,"endTime":202,"href":"/video/preview/9428756204765092686?parent-reqid=1769571046749298-4967252677758425463-balancer-l7leveler-kubr-yp-sas-188-BAL&text=Valentin+Lvm&t=163&ask_summarization=1"},{"index":3,"title":"Örnek Problemin Çözümü","list":{"type":"unordered","items":["Fonksiyonların kesişim noktalarını bulmak için 2x = √x denklemi çözülür ve x=0 ve x=1/4 değerleri bulunur.","X ekseni etrafında döndürme için integral: 0'dan 1/4'e π(√x^2 - (2x)^2) dx şeklinde yazılır.","Y ekseni etrafında döndürme için integral: 0'dan 1/2'ye π((y/2)^2 - y^4) dy şeklinde yazılır."]},"beginTime":202,"endTime":462,"href":"/video/preview/9428756204765092686?parent-reqid=1769571046749298-4967252677758425463-balancer-l7leveler-kubr-yp-sas-188-BAL&text=Valentin+Lvm&t=202&ask_summarization=1"},{"index":4,"title":"İkinci Örnek Problemin Çözümü","list":{"type":"unordered","items":["İkinci örnekte y=2x-x^2 eğrisi ile x ekseni arasında kalan kapalı alan incelenir.","Parabolün kökleri x=0 ve x=2'dir, tepe noktası (1,1) noktasındadır.","Alan hesaplaması için integral: 0'dan 2'ye (2x-x^2) dx şeklinde yazılır."]},"beginTime":462,"endTime":559,"href":"/video/preview/9428756204765092686?parent-reqid=1769571046749298-4967252677758425463-balancer-l7leveler-kubr-yp-sas-188-BAL&text=Valentin+Lvm&t=462&ask_summarization=1"},{"index":5,"title":"X Ekseni Etrafında Çevrilme Hacmi","list":{"type":"unordered","items":["C şıkkında x ekseni etrafında çevrilme durumu inceleniyor ve bu durumda pul metodu yerine disk metodu kullanılabilir.","Disk metodunda hacim formülü π∫₁² (2x - x²)² dx şeklinde hesaplanır."]},"beginTime":561,"endTime":619,"href":"/video/preview/9428756204765092686?parent-reqid=1769571046749298-4967252677758425463-balancer-l7leveler-kubr-yp-sas-188-BAL&text=Valentin+Lvm&t=561&ask_summarization=1"},{"index":6,"title":"Y Ekseni Etrafında Çevrilme Hacmi","list":{"type":"unordered","items":["D şıkkında y ekseni etrafında çevrilme durumu daha karmaşık olup, dış ve iç yarıçaplı bir yapı oluşur.","Parabol y = 2x - x² fonksiyonu y eksenine göre x = 1 ± √(1-y) şeklinde yazılabilir.","Hacim formülü π∫₀¹ [(1+√(1-y))² - (1-√(1-y))²] dy şeklinde hesaplanır."]},"beginTime":619,"endTime":832,"href":"/video/preview/9428756204765092686?parent-reqid=1769571046749298-4967252677758425463-balancer-l7leveler-kubr-yp-sas-188-BAL&text=Valentin+Lvm&t=619&ask_summarization=1"},{"index":7,"title":"Kabuk Metodu","list":{"type":"unordered","items":["D şıkkı için daha kolay bir çözüm yöntemi olan kabuk metodu (shell metodu) kullanılabilir.","Kabuk metodu, bu tür problemi daha rahat çözecektir ve bir sonraki videoda 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