Найти неопределенные интеграл Интеграл ((2X^3-5x^2+7x-3)/x^2)dx. Created by Dgoker2. algebra-ru

x^2)dx...

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August 2021 1 22 Report

Найти неопределенные интеграл
Интеграл ((2X^3-5x^2+7x-3)/x^2)dx

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$\int \frac{2x^3-5x^2+7x-3}{x^2}dx=\int (2x-5+\frac{7}{x}-3\cdot x^{-2})dx=\\\\=2\cdot \frac{x^2}{2}-5x+7\cdot \ln|x|-3\cdot \frac{x^{-1}}{-1}+C=x^2-5x+7ln|x|+\frac{3}{x}+C$

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