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Beliebt Rechnen >

integral of (x^2+4)

Lösung

\int (x^{2} + 4) d x

Lösung

\frac{x ^{3}}{3} + 4 x + C

Schritte zur Lösung

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

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

\int 4 d x = 4 x

= \frac{x ^{3}}{3} + 4 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} + 4 x + C

Graph

Beliebte Beispiele

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

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

integral of 1/((100+x^2)^2)

\int \frac{1}{( 100 + x ^{2} ) ^{2}} d x

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