fläche x^2, 1/2 x^2,3x

Lösung

fläche

x^{2}, \frac{1}{2} x^{2}, 3 x

\frac{45}{2}

Dezimale

22.5

Schritte zur Lösung

Um die Schnittpunkte zu finden, löse

f_{i} (x) = f_{j} (x)

x^{2} = \frac{1}{2} x^{2} : x = 0

x^{2} = 3 x : x = 3, x = 0

\frac{1}{2} x^{2} = 3 x : x = 6, x = 0

= \int_{0}^{3} ∣ f_{1} (x) - f_{3} (x) ∣ d x + \int_{0}^{6} ∣ f_{2} (x) - f_{3} (x) ∣ d x

= \int_{0}^{3} x^{2} - 3 x d x + \int_{0}^{6} \frac{1}{2} x^{2} - 3 x d x

\int_{0}^{3} x^{2} - 3 x d x = \frac{9}{2}

\int_{0}^{6} \frac{1}{2} x^{2} - 3 x d x = 18

= \frac{9}{2} + 18

Vereinfache

= \frac{45}{2}

t an g e n t f (x) = x^{2} - 3, (- 2, 1)

\int \frac{1}{x ^{\frac{1}{2}} - 4} d x

\int x^{2} 5 - 2 x^{3} d x

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\frac{\partial}{\partial y} (7 e^{x} ln (y))