Найдите, пожалуйста, неопределенный интеграл x*sin(2x). Created by nainsi. algebra-ru

Найдите, пожалуйста, неопределенный интеграл x*sin(2x)...

August 2022 1 24 Report

Найдите, пожалуйста, неопределенный интеграл
x*sin(2x)

Answers & Comments

sweetburning Интегрирование по частям:

$\int\limits {xsin(2x)} \, dx = -\frac{xcos2x}{2}+ \frac{1}{2} \int\limits {cos2x} \, dx 
 = \frac{1}{4}(sin2x-2xcos2x)+C$

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