y=5-x, x=0,x=1,y=0 вычислите площадь фигуры, ограниченной линиями. Created by gostin2. algebra-ru

y=5-x, x=0,x=1,y=0 вычислите площадь фигуры, ограниченной линиями...

gostin2 @gostin2

August 2022 1 9 Report

y=5-x, x=0,x=1,y=0 вычислите площадь фигуры, ограниченной линиями

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NNNLLL54

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Ответ:

$y=5-x\ ,\ \ x=0\ ,\ x=1\ ,\ y=0\\\\\\S=\int\limits^1_0\, (5-x)dx=-\dfrac{(5-x)^2}{2}\Big|_0^1=-\dfrac{1}{2}\cdot ( 4^2-5^2)=-\dfrac{1}{2}\cdot (16-25)=\dfrac{9}{2}=4,5$

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