int dx/√3x -2 найдите неопределенный интеграл. Created by Alina536. algebra-ru

√3x -2 найдите неопределенный интеграл...

Alina536 @Alina536

July 2022 1 22 Report

int dx/√3x -2 найдите неопределенный интеграл

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Ответ:

$\int \dfrac{dx}{\sqrt{3x-2}}=\dfrac{1}{3}\int \dfrac{3\, dx}{\sqrt{3x-2}}=\dfrac{1}{3}\int \dfrac{d(3x-2)}{\sqrt{3x-2}}=\dfrac{1}{3}\cdot 2\sqrt{3x-2}+C$

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