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Beliebt Rechnen >

integral of (x-4)(x+4)

Lösung

\int (x - 4) (x + 4) d x

Lösung

\frac{x ^{3}}{3} - 16 x + C

Schritte zur Lösung

\int (x - 4) (x + 4) d x

Multipliziere aus

(x - 4) (x + 4) : x^{2} - 16

= \int x^{2} - 16 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 x^{2} d x - \int 16 d x

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

\int 16 d x = 16 x

= \frac{x ^{3}}{3} - 16 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} - 16 x + C

Graph

Beliebte Beispiele

integral of 1/((81+x^2)^2)

\int \frac{1}{( 81 + x ^{2} ) ^{2}} d x

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

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integral of 4x-xe^x+e

\int 4 x - x e^{x} + e d x

(\partial)/(\partial y)(2xye^{x^2})

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