Найти площадь фигуры, ограниченной кривыми y=2x-x^2 и x+y=0. Created by ilakrasnogrudov. geometriya-ru

Найти площадь фигуры, ограниченной кривыми y=2x-x^2 и x+y=0...

August 2022 1 4 Report

Найти площадь фигуры, ограниченной кривыми
y=2x-x^2 и x+y=0

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mionkaf1

$\displaystyle\\S=-\int\limits^3_0 {(-x-2x+x^2)} \, dx=\int\limits^3_0 {x+2x-x^2} \, dx =\int\limits^3_0 {3x-x^2} \, dx=\\\\\\=(\frac{3x^2}{2}-\frac{x^3}{3})\mid^3_0=\frac{3*3^2}{2}-\frac{3^3}{3}-(\frac{3*0}{2}-\frac{0}{3})=\frac{9}{2}$

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predpriyatiya o otlichaetsya tem chto ego uchastniki zanimayutsya predprinimatelskoj

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ilakrasnogrudov August 2022 | 0 Ответы

najti ploshad figury ogranichennoj liniyami yxx1x3y0

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najti ploshad figury ogranichennoj krivymi y2x x2 i xy0

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ilakrasnogrudov August 2022 | 0 Ответы

najti ploshad figury ogranichennoj liniyami yx3y0x1x2

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najti ploshad figury ogranichennoj liniyami yxx1x3y0

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