Math  /  Calculus

QuestionGiven the function f(x)=2.5xe0.1x+2.64 f(x) = -2.5 x \cdot e^{-0.1 x} + 2.64 , find the antiderivative (indefinite integral) of the function.

Studdy Solution
Füge die Integrationskonstante C C hinzu:
f(x)dx=25xe0.1x+250e0.1x+2.64x+C \int f(x) \, dx = 25x e^{-0.1x} + 250 e^{-0.1x} + 2.64x + C
Das unbestimmte Integral der Funktion ist:
25xe0.1x+250e0.1x+2.64x+C \boxed{25x e^{-0.1x} + 250 e^{-0.1x} + 2.64x + C}

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