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Beliebt Rechnen >

integral of (3x^2+x-1)

Lösung

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

Lösung

x^{3} + \frac{x ^{2}}{2} - x + C

Schritte zur Lösung

\int 3 x^{2} + x - 1 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 x d x - \int 1 d x

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

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

\int 1 d x = x

= x^{3} + \frac{x ^{2}}{2} - x

Füge eine Konstante zur Lösung hinzu

= x^{3} + \frac{x ^{2}}{2} - x + C

Graph

Beliebte Beispiele

integral of (3-x)sqrt(x)

\int (3 - x) x d x

integral of 1/(sqrt(4x-x^2-3))

\int \frac{1}{4 x - x ^{2} - 3} d x

integral of (x^2)/(3x^3+1)

\int \frac{x ^{2}}{3 x ^{3} + 1} d x

integral of (sin(ln(x)))

\int (sin (ln (x))) d x

integral of sec(x)sin(x)

\int sec (x) sin (x) d x