tex] и F(-1)=2...

jjina @jjina

July 2022 2 3 Report

функция F(x) является первообразной для функции f(x) найдите F(1), если f(x)=[tex]6x^2-4x+1[/tex] и F(-1)=2

ATLAS

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dtnth

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$f(x)=6x^2-4x+1;\\ F(x)=2x^3-2x^2+x+C;\\ F'(x)=f(x);\\ F(-1)=2;\\ 2*(-1)^3-2*(-1)^2+(-1)+C=2;\\ -2-2-1+C=2;\\ C=2+5;\\ C=7;\\ F(x)=2x^3-2x^2+x+7;\\ F(1)=2*1^3-2*1^2+1+7=2-2+8=8;\\ F(1)=8$

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