Предмет: Алгебра, автор: vgw5zk2gr6

Найти площадь фигуры ограничены линиями.

Найти площадь фигуры ограничены линиями.
Знайти площу фігури обмежені лініями.

пример/приклад:

y=0,5x^2+2, y=0, x=1, x=-3

7 вариант

Приложения:

Ответы

Автор ответа: sangers1959

0

Объяснение:

$\displaystyle\\y=0,5x^2+2\ \ \ \ \ \ y=0\ \ \ \ \ x=1\ \ \ \ \ \ x=3\ \ \ \ \ \ S=?\\\\S=\int\limits^3_1 {(0,5x^2+2-0)} \, dx =\int\limits^3_1 {(\frac{x^2}{2} +2)} \, dx=(\frac{x^3}{2*3}+2x)\ |_1^3=\\\\ =(\frac{x^3}{6} +2x)\ |_1^3=\frac{3^3}{6}-\frac{1^3}{6} +2*3-2*1=\frac{9}{2} -\frac{1}{6} +6-2=\\\\=\frac{9*3-1}{6} +4=\frac{26}{6}+4=\frac{13}{3} +4= 4\frac{1}{3}+4=8\frac{1}{3}.$

Ответ: S=8,33333 кв. ед.

Приложения:

vgw5zk2gr6: там должно быть -3 x=-3

vgw5zk2gr6: -3

vgw5zk2gr6: вместо 3 должно быть -3 x=-3, можете переделать буду очень благодарен! очень нужно

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