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Beliebt Rechnen >

integral of (13-x)sqrt(x)

Lösung

\int (13 - x) x d x

Lösung

\frac{26}{3} x^{\frac{3}{2}} - \frac{2}{5} x^{\frac{5}{2}} + C

Schritte zur Lösung

\int (13 - x) x d x

Multipliziere aus

(13 - x) x : 13 x - x^{\frac{3}{2}}

= \int 13 x - x^{\frac{3}{2}} 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 13 x d x - \int x^{\frac{3}{2}} d x

\int 13 x d x = \frac{26}{3} x^{\frac{3}{2}}

\int x^{\frac{3}{2}} d x = \frac{2}{5} x^{\frac{5}{2}}

= \frac{26}{3} x^{\frac{3}{2}} - \frac{2}{5} x^{\frac{5}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{26}{3} x^{\frac{3}{2}} - \frac{2}{5} x^{\frac{5}{2}} + C

Graph

Beliebte Beispiele

integral of (y+2)(y-1)

\int (y + 2) (y - 1) d y

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\int \frac{x ^{4}}{( x ^{2} + 3 ) ^{2}} d x

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\int (\frac{e ^{x}}{e ^{x} + 5}) d x

integral of (9x+2)(3x-5)

\int (9 x + 2) (3 x - 5) d x

integral of (e^{5x}-5/x)

\int (e^{5 x} - \frac{5}{x}) d x