найти неопределенный интеграл ∫(3x^2+e^x+3)dx.. Created by lalala110. algebra-ru

найти неопределенный интеграл ∫(3x^2+e^x+3)dx...

lalala110 @lalala110

July 2022 1 14 Report

найти неопределенный интеграл ∫(3x^2+e^x+3)dx.

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ShirokovP

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$\int\limits {(3x^2+e^x+3)} \, dx =3 \int\limits{x^2} \, dx + \int\limits {e^x} \, dx +3 \int\limits {1} \, dx = \\ \\ =3 \frac{x^3}{3}+e^x+3x+C=x^3+e^x+3x+C$

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