Помогите решить неопределенный интеграл!!!. Created by olgas2000. matematika-ru

Помогите решить неопределенный интеграл!!!...

olgas2000 @olgas2000

August 2022 1 4 Report

Помогите решить неопределенный интеграл!!!

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NNNLLL54

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$\int \frac{dx}{arctg^3x\cdot (1+x^2)} =\int (arctgx)^{-3}\cdot \underbrace {\frac{dx}{1+x^2}}_{d(arctgx)} = \frac{(arctgx)^{-2}}{-2}+C=\\\\=-\frac{1}{2\, arctg^2x}+C$

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