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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

\int x^{3} d x = \frac{x ^{4}}{4}

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (x-3)/(sqrt(4-9x^2))

\int \frac{x - 3}{4 - 9 x ^{2}} d x

integral of (x^2-3)/(x^3+5x)

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

integral of y^3e^{-2y}

\int y^{3} e^{- 2 y} d y

integral of (6x^3+5x)^{12}

\int (6 x^{3} + 5 x)^{12} d x

integral of cos^2(2θ)sin^3(2θ)

\int cos^{2} (2 θ) sin^{3} (2 θ) d θ