Предмет: Алгебра, автор: leonidoviclev

определить объем фигуры полученной вращением графика y=x^3 вокруг оси OX, при x=0, x=2​

Ответы

Автор ответа: Vasily1975
2

Ответ: V=128*π/7.

Объяснение:

1) Находим первообразную V(x)=π*∫y²(x)*dx=π*∫x⁶*dx=π*1/7*x⁷+C, где C - произвольная постоянная.

2) Находим объём тела: V=V(2)-V(0)=π*1/7*2⁷+C-(π*1/7*0⁷+C)=π*1/7*2⁷=128*π/7.

leonidoviclev: спасибо. может посмотришь ещё мои вопросы? они в том же духе.
Vasily1975: Неохота.
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