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Beliebt Rechnen >

integral of (5x-sqrt(x))

Lösung

\int (5 x - x) d x

Lösung

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

Schritte zur Lösung

\int 5 x - 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 5 x d x - \int x d x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (4x^3+6x^2+3)

\int (4 x^{3} + 6 x^{2} + 3) d x

integral of (5x^4-2x^3+3x-4)

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integral of x+cos^2(x)

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

integral of (x^2)/(\sqrt[3]{2-x)}

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

integral of 4/((2-x^2)^{3/2)}

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