Вычислите интеграл 25 баллов. Created by danaaitzhanova. algebra-ru

Вычислите интеграл 25 баллов...

danaaitzhanova @danaaitzhanova

July 2022 1 28 Report

Вычислите интеграл 25 баллов

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NNNLLL54

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Ответ:

$\displaystyle \int \frac{dx}{\sqrt[4]{42-3x} }=-\dfrac{1}{3}\int (42-3x)^{-\frac{1}{4}}\, d(42-3x)=-\frac{1}{3}\cdot \frac{(42-3x)^{3/4}}{3/4}+C=\\\\\\=-\frac{4}{9}\cdot \sqrt[4]{(42-3x)^3}+C$

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