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Beliebt Rechnen >

integral of xe^{x/5}

Lösung

\int x e^{\frac{x}{5}} d x

Lösung

5 e^{\frac{x}{5}} x - 25 e^{\frac{x}{5}} + C

Schritte zur Lösung

\int x e^{\frac{x}{5}} d x

Wende die partielle Integration an

= 5 e^{\frac{x}{5}} x - \int 5 e^{\frac{x}{5}} d x

\int 5 e^{\frac{x}{5}} d x = 25 e^{\frac{x}{5}}

= 5 e^{\frac{x}{5}} x - 25 e^{\frac{x}{5}}

Füge eine Konstante zur Lösung hinzu

= 5 e^{\frac{x}{5}} x - 25 e^{\frac{x}{5}} + C

Graph

Beliebte Beispiele

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

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

integral of (esqrt(x+1))/(sqrt(x))

\int \frac{e x + 1}{x} d x

integral of 3/(x^2)+4-1/(4x^3)

\int \frac{3}{x ^{2}} + 4 - \frac{1}{4 x ^{3}} d x

integral of x(7x^2-9)^{5/2}

\int x (7 x^{2} - 9)^{\frac{5}{2}} d x

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

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