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Beliebt Rechnen >

integral of 3x^2-4x+7

Lösung

\int 3 x^{2} - 4 x + 7 d x

Lösung

x^{3} - 2 x^{2} + 7 x + C

Schritte zur Lösung

\int 3 x^{2} - 4 x + 7 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 x^{2} d x - \int 4 x d x + \int 7 d x

\int 3 x^{2} d x = x^{3}

\int 4 x d x = 2 x^{2}

\int 7 d x = 7 x

= x^{3} - 2 x^{2} + 7 x

Füge eine Konstante zur Lösung hinzu

= x^{3} - 2 x^{2} + 7 x + C

Graph

Beliebte Beispiele

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a re a y = 2 x - x, y = 0

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\int x cos^{5} (x^{2}) d x

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t \to 0 lim (5 t cot (2 t))

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tangent y=(4x)/((x^2+1))

t an g e n t y = \frac{4 x}{( x ^{2} + 1 )}