Найти неопределенный интеграл: ∫ e^(-4x)*(4-3x)...............e-exp. Меня больше

Найти неопределенный интеграл: ∫ e^(-4x)*(4-3x)...............e-exp.
Меня больше интересует как делать а не какой ответ
- Предмет:
  Алгебра
- Автор:
  jairgz7d
- 5 лет назад

Ответы 1

Интегрирование по частям: $\int u\, dv=uv-\int v\, du$ В этом примере $u=4-3x; du=-3\, dx; dv=e^{-4x}\, dx; v=\int e^{-4x}\, dx=-\frac{1}{4} e^{-4x}\Rightarrow$ $\int e^{-4x}(4-3x)\, dx=\frac{3x-4}{4}e^{-4x}-\frac{3}{4}(-\frac{1}{4})e^{-4x}+C= \frac{3x-4}{4}e^{-4x}+\frac{3}{16}e^{-4x}+C$
- Автор:
  baldomerotgbf
- 5 лет назад
- 0
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Найти неопределенный интеграл: ∫ e^(-4x)*(4-3x)...............e-exp. Меня больше интересует как делать а не какой ответ

Ответы 1

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Найти неопределенный интеграл: ∫ e^(-4x)*(4-3x)...............e-exp.
Меня больше интересует как делать а не какой ответ