WEBVTT

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Burada Rieman cəmimiz var.

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Limiti n sonsuzluğa yaxınlaşırmış kimi
götürəcəyik

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və bu videoda

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bu ifadəni müəyyən inteqral şəklində

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yenidən yazmağı sınayacağıq.

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Videonu dayandırıb

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misalı özünüz həll etməyə
çalışa bilərsiniz.

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Gəlin

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Rieman cəminin müəyyən inteqralla
necə əlaqəli olduğunu xatırlayaq.

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Əgər
a-dan b-yə

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f(x) dx-in müəyyən inteqralı varsa,

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başqa videolardan da bildiyimiz kimi,

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o,

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n sonsuzluğa yaxınlaşdıqda

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i bərabərdir 1-dən n-ə cəmin limitinə
bərabər olacaq.

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Əslində,

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biz enini

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delta x şəklində yazacağımız düzbucaqlıların

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cəmini tapacağıq.

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Yəni enimiz

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delta x olacaq və

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hündürlüyümüz isə

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delta x-də hesablanan

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funksiyamızın qiyməti olacaq.

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Əgər düzgün Rieman cəmi ediriksə,

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---

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---

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Yəni biz aşağı sərhəd olaraq
a-dan başlayacağıq

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və indeksimizin müəyyən etdiyi qədər
delta x-ləri əlavə edəcəyik.

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Əgər i 1-ə bərabərdirsə,

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biz bir delta x əlavə edəcəyik,

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---

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Əgər i 2 olsaydı, biz 2 delta x əlavə edəcəkdik.

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Bu, delta x vur

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indeksə bərabər olacaq.

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Bu, daha əvvəl də gördüyümüz

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ümumi formadır.

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Burada nümunələri

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uyğunlaşdıra bilərik.

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Funksiyamız natural loqarifma 
kimi görünür?

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yəni bizim funksiyamız

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natural loqarifmadır.

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Deməli, biz

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f(x) bərabərdir lnx yaza bilərik.

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Başqa nə görürük?

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Belə görünür ki, a 2-yə bərabərdir.

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a 2-yə bərabərdir.

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Delta x nəyə bərabər olacaq?

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