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Консультация № 109249
13.11.2007, 17:35
0.00 руб.
0
1
1
Интеграл:
4: S e^-x^2*xdx
.....
Приложение:
S - условное обозначение интеграла. В 4 примере "e" в степени -x в квадрате.
4: S e^-x^2*xdx
.....
Приложение:
S - условное обозначение интеграла. В 4 примере "e" в степени -x в квадрате.
Обсуждение
Неизвестный
13.11.2007, 17:46
общий
это ответ
Здравствуйте, Packbar!
∫ e<sup>-x<sup>2</sup></sup>*x dx = ∫ (x dx)/e<sup>x<sup>2</sup></sup> = 1/2 ∫ dx<sup>2</sup>/e<sup>x<sup>2</sup></sup> = {t =x<sup>2</sup>} = 1/2 ∫ dt/e<sup>t</sup> =
= 1/2 ∫ e<sup>-t</sup>dt = -1/2 e<sup>-t</sup> = -1/2 e<sup>-x<sup>2</sup></sup>.
Good Luck!!!
∫ e<sup>-x<sup>2</sup></sup>*x dx = ∫ (x dx)/e<sup>x<sup>2</sup></sup> = 1/2 ∫ dx<sup>2</sup>/e<sup>x<sup>2</sup></sup> = {t =x<sup>2</sup>} = 1/2 ∫ dt/e<sup>t</sup> =
= 1/2 ∫ e<sup>-t</sup>dt = -1/2 e<sup>-t</sup> = -1/2 e<sup>-x<sup>2</sup></sup>.
Good Luck!!!
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