Найти площадь фигуры, ограниченной линиями: y=1/2x², y=4-x. Created by ilakrasnogrudov. matematika-ru

2x², y=4-x...

August 2022 1 2 Report

Найти площадь фигуры, ограниченной линиями: y=1/2x², y=4-x

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mionkaf1

$\displaystyle\\S=\int\limits^2_{-4} {4-x-\frac{1}{2}x^2 } \, dx=(4x-\frac{x^2}{2}-\frac{x^3}{6})\mid^2_{-4}=4*2-\frac{2^2}{2}-\frac{2^3}{6}-\\\\\\-(-16-\frac{16}{2}+\frac{4^3}{6})=18$

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najti ploshad figury ogranichennoj krivymi y2x x2 i xy011b7c51f52f41dab345a33982dae5872 1945

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