Предмет: Математика, автор: kanafeta22

Определите, есть ли функция F (x) есть первообразной от функции f (x) на заданном промежутке.
F(x) = x ^-2 +2, f(x) = 1/2x^3, x принадлежит (0; бесконечность)

Ответы

Автор ответа: ruslank1460

0

F'(x) = (x ⁻² + 2)' = -2x⁻³ = -2/x³

Поскольку F'(x) ≠ f(x), то F(x) не является первообразной для функции f(x)

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