Предмет: Математика, автор: sagamore500

Тіло рухається прямолінійно зі швидкістю v(t)=t^3 + 2t (м/с). Обчислити шлях, який пройшло тiло за iнтервал часу вiд t1=2с до t2=4с​

Ответы

Автор ответа: ViSanM
1

Ответ:

72 м

Пошаговое объяснение:

1) Знайти визначений інтеграл від швидкості з вказаними межами від 2 до 4:

\int\limits^4_2 {(t^{3}+2t) } \, dt =(\frac{t^{4} }{4} +\frac{2t^{2} }{2} )= (\frac{t^{4} }{4} +t^{2} )=\frac{4^{4} }{4} +4^{2}-(\frac{2^{4} }{4} +2^{2})=4^{3} +16-(4+4)=64+8=72

sagamore500: спасибо
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