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Beliebt Rechnen >

integral from 1 to 7 of x^2-4x-12

Lösung

\int_{1}^{7} x^{2} - 4 x - 12 d x

Lösung

- 54

Schritte zur Lösung

\int_{1}^{7} x^{2} - 4 x - 12 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_{1}^{7} x^{2} d x - \int_{1}^{7} 4 x d x - \int_{1}^{7} 12 d x

\int_{1}^{7} x^{2} d x = 114

\int_{1}^{7} 4 x d x = 96

\int_{1}^{7} 12 d x = 72

= 114 - 96 - 72

Vereinfache

= - 54

Graph

Beliebte Beispiele

derivative x^{7/2}e^x

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derivative f(x)=(3x^2-10)^{-14}

d er i v a t i v e f (x) = (3 x^{2} - 10)^{- 14}

derivative of (3x^2/(5x+1))

\frac{d}{d x} (\frac{3 x ^{2}}{5 x + 1})

fouriertransform x

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integral of-x^2-x+6

\int - x^{2} - x + 6 d x