integral of (3x^2-3)

Lösung

\int (3 x^{2} - 3) d x

x^{3} - 3 x + C

Schritte zur Lösung

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

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

\int 3 d x = 3 x

= x^{3} - 3 x

Füge eine Konstante zur Lösung hinzu

= x^{3} - 3 x + C

\int (- x + 1) d x

\int lo g_{10} (x^{2} + 1) d x

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