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https://texercises.com/exercise/integral-partialbruchzerlegung-13/
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Exercise:
displaystyle fracx^+x-x-x-^ ddx

Solution:
fracx^+x-x-x-^ fraca_x-+fraca_x-+fraca_x-^ fraca_x-^+a_x-x-+a_x-x-x-^ fraca_+a_ x^ + -a_-a_+a_x+a_+a_-a_x-x-^ partialkv * arraylrcrcrcr x^:qquad&qquad & a_ &+& a_ & & x^:qquad&qquad & -a_ &-& a_ &+& a_ x^:qquad&qquad - & a_ &+& a_ &-& a_ array * tcblower Die Lösung dieses Gleichungssystemes lautet: a_ +frac a_ -frac a_ +frac Das Integral der angegebenen Funktion ist damit: Fx tcbhighmathaufgabe fracx^+x-x-x-^ddx leftfracfracx--fracfracx-+fracfracx-^ rightddx tcbhighmathloesungfraclnx--fraclnx--fracfracx-+C
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Exercise:
displaystyle fracx^+x-x-x-^ ddx

Solution:
fracx^+x-x-x-^ fraca_x-+fraca_x-+fraca_x-^ fraca_x-^+a_x-x-+a_x-x-x-^ fraca_+a_ x^ + -a_-a_+a_x+a_+a_-a_x-x-^ partialkv * arraylrcrcrcr x^:qquad&qquad & a_ &+& a_ & & x^:qquad&qquad & -a_ &-& a_ &+& a_ x^:qquad&qquad - & a_ &+& a_ &-& a_ array * tcblower Die Lösung dieses Gleichungssystemes lautet: a_ +frac a_ -frac a_ +frac Das Integral der angegebenen Funktion ist damit: Fx tcbhighmathaufgabe fracx^+x-x-x-^ddx leftfracfracx--fracfracx-+fracfracx-^ rightddx tcbhighmathloesungfraclnx--fraclnx--fracfracx-+C
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Tags
gleichungssystem, integralrechnung, integrationstechnik, koeffizienten, mathematik, partialbruchzerlegung
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
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