intégration par partie

Beschreibung

Maths Quiz am intégration par partie, erstellt von bonsavoir.be am 15/07/2015.
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Quiz von bonsavoir.be, aktualisiert more than 1 year ago
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Erstellt von bonsavoir.be vor mehr als 9 Jahre
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Zusammenfassung der Ressource

Frage 1

Frage
\[\int x e^x dx = \]
Antworten
  • \[x f(x) - \int f(x) dx \]
  • \[x f(x) + \int f(x) dx \]
  • \[x f(x) - \int f'(x) dx \]
  • aucune de ses solution

Frage 2

Frage
\[\int x ln(x) dx = \]
Antworten
  • \[\int e^x g(x) dx - \int e^x g'(x) dx \]
  • \[e^x g(x) - \int e^x g'(x) dx \]
  • \[e^x g(x) + \int e^x g(x) dx \]
  • \[\int e^x g(x) dx + \int e^x g'(x) dx \]

Frage 3

Frage
\[\int x sin(x) dx = \]
Antworten
  • \[sinx - cos(x) \]
  • \[sinx+ x cos(x) \]
  • \[cosx - x sin(x) \]
  • \[sinx - x cos(x) \]

Frage 4

Frage
\[\int \frac {x^2}{e^x} dx = \]
Antworten
  • \[x (lnx + 1) \]
  • \[x (lnx - 1) \]
  • \[x lnx - 1 \] \]
  • \[\ (lnx -x) \] \]

Frage 5

Frage
\[\int \frac {ln(x)}{x^2} dx = \]
Antworten
  • x^-²
  • \[\-frac {1 + ln(x)}{x} \]
  • \[ \frac{x^2 ln(x)}{2} - \frac{x²}{4}\]
  • ---

Frage 6

Frage
\[\int x^2 cos(x) dx = \]
Antworten
  • \[\e^x (x-1) \]
  • -
  • --
  • ---

Frage 7

Frage
\[ \int sin x e^x dx = \]
Antworten
  • 1
  • 2
  • 3
  • 4

Frage 8

Frage
\[ \int \frac {cos(x)}{e^x} dx = \]
Antworten
  • redd
  • \[ bold \red 5 \]
  • 3
  • 4

Frage 9

Frage
\[ \int cos(x)^2 dx = \]
Antworten
  • -
  • 2
  • ---
  • \[ \frac{1}{2} (x + sin(x) cos(x) = \]

Frage 10

Frage
\[ \int \frac {dx}{cos(x)} = \int \frac {1}{cos(x)} * \frac {sin(x)}{sin(x)} dx = \int \frac {sin(x)}{cos(x)} * \frac {1}{sin(x)} dx = \int tg(x) * \frac {1}{sin(x)} dx = \]
Antworten
  • \[\frac {{\color{red} sin(x)}}{{\color{red} sin(x)}} }\]
  • --
  • ---
  • ----
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