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Beliebt Rechnen >

integral of 4x^3-3x^2+4x-3

Lösung

\int 4 x^{3} - 3 x^{2} + 4 x - 3 d x

Lösung

x^{4} - x^{3} + 2 x^{2} - 3 x + C

Schritte zur Lösung

\int 4 x^{3} - 3 x^{2} + 4 x - 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 4 x^{3} d x - \int 3 x^{2} d x + \int 4 x d x - \int 3 d x

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

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

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

\int 3 d x = 3 x

= x^{4} - x^{3} + 2 x^{2} - 3 x

Füge eine Konstante zur Lösung hinzu

= x^{4} - x^{3} + 2 x^{2} - 3 x + C

Graph

Beliebte Beispiele

t^2-t*y*y^'+y^2=0

t^{2} - t \cdot y \cdot y^{^{'}} + y^{2} = 0

integral of 6tan^5(x)sec^2(x)

\int 6 tan^{5} (x) sec^{2} (x) d x

limit as x approaches 0-of 8/(5x^{1/5)}

x \to 0 - lim (\frac{8}{5 x ^{\frac{1}{5}}})

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

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

(x^3+y^3)dx-xy^2dy=0

(x^{3} + y^{3}) d x - x y^{2} d y = 0