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Beliebt Rechnen >

integral of (3x^2-a)

Lösung

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

Lösung

x^{3} - a x + C

Schritte zur Lösung

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

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

\int a d x = a x

= x^{3} - a x

Füge eine Konstante zur Lösung hinzu

= x^{3} - a x + C

Graph

Beliebte Beispiele

integral of (5+sqrt(x))/x

\int \frac{5 + x}{x} d x

integral of (sqrt(2))/(3x^2+3)

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

integral of x^2sqrt(x^2-2)

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

integral of x^4ln(8x)

\int x^{4} ln (8 x) d x

integral of x^{9/10}

\int x^{\frac{9}{10}} d x