срочно! интеграл dx разделить на 7x-1. Created by hyour133. algebra-ru

срочно! интеграл dx разделить на 7x-1...

oganesbagoyan

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znanija.com/task/34353810

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интеграл dx разделить на 7x-1

Ответ: (1/7)*Ln|7x-1 | +С.

Объяснение:

∫ dx / (7x-1) = (1/7)*∫ d(7x-1) / (7x-1) = (1/7)*Ln|7x-1 | +С.

* * * нетрудовой доход * * *

1 votes Thanks 0

NNNLLL54

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$\int \frac{dx}{7x-1}=\Big[\; t=7x-1\; ,\; dt=7\, dx\; ]=\frac{1}{7}\int \frac{dt}{t}=\frac{1}{7}\cdot ln|t|+C=\\\\=\frac{1}{7}\cdot ln|7x-1|+C\\\\\\ili\; \; \; \int \frac{dx}{7x-1}=\Big[\; d(7x-1)=(7x-1)'\, dx=7\, dx\; ]=\frac{1}{7}\int \frac{d(7x-1)}{7x-1}=\\\\=\frac{1}{7}\cdot ln|7x-1|+C$

3 votes Thanks 2

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