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Beliebt Rechnen >

integral of (x^2+\sqrt[4]{x})

Lösung

\int (x^{2} + 4 x) d x

Lösung

\frac{x ^{3}}{3} + \frac{4}{5} x^{\frac{5}{4}} + C

Schritte zur Lösung

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

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

\int 4 x d x = \frac{4}{5} x^{\frac{5}{4}}

= \frac{x ^{3}}{3} + \frac{4}{5} x^{\frac{5}{4}}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} + \frac{4}{5} x^{\frac{5}{4}} + C

Graph

Beliebte Beispiele

integral of (2t^2+1)

\int (2 t^{2} + 1) d t

integral of r*e^{r/2}

\int r \cdot e^{\frac{r}{2}} d r

integral of (3x)/(3x+5)

\int \frac{3 x}{3 x + 5} d x

integral of 2sqrt(2x+3)

\int 2 2 x + 3 d x

integral of ((x+1))/(x^2+4x-5)

\int \frac{( x + 1 )}{x ^{2} + 4 x - 5} d x