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Daha fazlası ve ders videolarını sıralı izlemek için: https://www.khanacademy.org.tr Matematikten sanat tarihine...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1577647/85e2cd6c7a400cf2d80f5995da8a4fa1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/kqMdRgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769840949191181-18388342196671756833-balancer-l7leveler-kubr-yp-sas-240-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769840949191181-18388342196671756833-balancer-l7leveler-kubr-yp-sas-240-BAL&text=videoid:8729076492518121701","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. İki eğitmen, bir geometrik şekil için hacim hesaplama yöntemini adım adım anlatmaktadır.","Videoda, sarı eğri (y = x - 1)² ve mavi doğru (y = x - 1) arasındaki bölgeyi y = -2 doğrusu etrafında döndürerek elde edilen jet motoruna benzeyen şeklin hacmi hesaplanmaktadır. Önce disk yöntemi, ardından kabuk yöntemi kullanılarak hacim formülü türetilmektedir. Kabuk yöntemi tercih edilerek, yarıçap ve yüzey alanı hesaplanarak hacim formülü elde edilmekte ve integral aralığı (0,3) belirlenmektedir. Video, integralin çözümünün bir sonraki videoda yapılacağı bilgisiyle sonlanmaktadır."]},"endTime":404,"title":"Matematik Dersinde Hacim Hesaplama","beginTime":0}],"fullResult":[{"index":0,"title":"Döndürme Hacmi Problemi","list":{"type":"unordered","items":["Sarı eğri y = x² - 1, mavi eğri y = x - 1 olarak tanımlanmış ve bu eğriler arasında kalan bölge y = -2 doğrusu etrafında döndürülecek.","Döndürme sonucu elde edilen şekil jet motorunun ön kısmına benziyor ve hacmi bulunacak.","Hacim disk veya kabuk yöntemiyle hesaplanabilir."]},"beginTime":0,"endTime":60,"href":"/video/preview/8729076492518121701?parent-reqid=1769840949191181-18388342196671756833-balancer-l7leveler-kubr-yp-sas-240-BAL&text=File+2+Function&t=0&ask_summarization=1"},{"index":1,"title":"Kabuk Yöntemi","list":{"type":"unordered","items":["Fonksiyonlardan biri y türünden verilmiş ve diğerini de y türünden ifade etmek kolay olduğu için kabuk yöntemi tercih edilecek.","Kabuk yönteminde yükseklikleri d'ye olan 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Match) ⌨️ (1:02:58) Xlookup (Approximate Match) ⌨️ (1:06:38)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4219512/8504d699dcbd664a2d5b10cd408eb9d2/564x318_1"},"target":"_self","position":"14","reqid":"1769840949191181-18388342196671756833-balancer-l7leveler-kubr-yp-sas-240-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DO3m9m6Ie4gY","linkTemplate":"/video/preview/7961014739887789357?parent-reqid=1769840949191181-18388342196671756833-balancer-l7leveler-kubr-yp-sas-240-BAL&text=File+2+Function&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Excel Formulas & Functions You Should Know [Full Course]","related_orig_text":"File 2 Function","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"File 2 Function\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=O3m9m6Ie4gY\",\"src\":\"serp\",\"rvb\":\"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-gD1-AcKDwb8ASf3AgDzBAQA2fP39Qf5AwD_Agb4_wEAAPz3_fwKAAAA-gbw-wP-AAAFAusHAgAAAA8ABQ_-AAAA_Qf-C_8BAADs_vP4AgAAAB8FCAkAAAAA-RcI_P7_AAAFCQQEAAAAABMM9AkAAAAAIAAtKHXFOzgTQAlITlACKnMQABpgNQ4A_Asc5vMWFeD-7NAZ__4H5gn8EwAj8AD-GujnLwjhxgD7ABbZFf3HAAAABSHrBecA7UsW8_kACBsY4MLzBAh_BhcA5N8B99rj_f8dLMIC7T4PANr47wUWA-M_HS4AIAAtk8xfOzgTQAlIb1ACKq8GEAwaoAYAAMhBAADIwQAA2EEAAFBBAACgQQAAwEEAAIJCAAAQQgAA_sIAAIDAAAAoQgAAQMAAAFTCAAAwQQAAqEIAAADBAADowQAAYMIAAIDBAAAAQAAAMEEAAOjBAAAQwgAAuEEAAKBBAACAPwAARMIAAHzCAABYQgAAjkIAAODAAABoQgAAAMIAAKBBAAAUwgAAUMEAAFTCAADWQgAAEEEAAIA_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-EEAAPhBAADIwQAAMEIAABTCAAAcwgAAQMAAABRCAACGQgAAwEAAAJpCAAAYQgAAKMIAAGxCAADowQAAoEAAAOBAAACQwQAAMMEAADDCAACAPwAAbMIAAKjBAAD4wQAA-EEAAKZCAABgwgAAOEIAALDBAADQQQAA2EEAADzCAABYQgAAmEEAANDBAAC4wQAAHMIAAIBAAACwwQAAgsIAAMBAAABgQQAAjkIAAEzCAABQQgAAVEIAALjBAACQQQAAUMIAAEBBAAA8QgAAkMEAAIDCAADYQQAAwMEAABDBAABswgAAUEEAACzCAAAwQQAAGMIAAIDBAACAQQAAoEIAAPDBAAAkwiAAOBNACUh1UAEqjwIQABqAAgAALD4AAEA8AACSPgAAUD0AAKg9AACePgAArj4AADG_AACCvgAA4DwAAPi9AAAEvgAAMD0AAGw-AAAMPgAAJL4AACy-AADgPAAA-D0AAC0_AAB_PwAAZL4AAEC8AABcPgAAir4AAFA9AADKPgAAJD4AANg9AADgvAAAJD4AAPI-AACIvQAAML0AAPI-AAD4vQAATD4AAOC8AABkvgAAoDwAACy-AADqvgAAuD0AAAS-AACmPgAAuD0AAOg9AABUvgAAJL4AAFy-AAAUPgAAHL4AAII-AADgvAAAmL0AABw-AAB5PwAAUL0AABQ-AACWvgAAFD4AAHw-AABQPQAA-D0gADgTQAlIfFABKo8CEAEagAIAAFA9AABUvgAAbL4AAAm_AACovQAAyD0AABQ-AACIvQAA-L0AAJg9AABUvgAA-L0AAPg9AABcvgAAbD4AADC9AACAuwAAKz8AAFC9AADePgAAqL0AAKC8AACAuwAAgLsAAFA9AADgvAAAgLsAAIi9AABQPQAAoDwAABA9AACgPAAAuL0AAFS-AAAcPgAAMD0AALg9AABsPgAAgr4AAOA8AABcPgAAZD4AAIg9AADgPAAAQLwAAPi9AAB_vwAALL4AAOC8AAA0vgAAQDwAADS-AACAOwAAgLsAAHw-AACoPQAAoLwAADC9AACOvgAAmD0AAPg9AAC2PgAAiD0AAJK-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=O3m9m6Ie4gY","parent-reqid":"1769840949191181-18388342196671756833-balancer-l7leveler-kubr-yp-sas-240-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7961014739887789357"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15749294497918311352":{"videoId":"15749294497918311352","docid":"34-6-4-Z25BBC2C281A212E0","description":"🔥 Want results you can see? 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