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Beliebt Rechnen >

integral of x^{x'}

Lösung

\int x^{x^{'}} d x

Lösung

x^{x' + 1} - \frac{x ^{2}}{2} + C

Schritte zur Lösung

\int x^{x^{'}} d x

Wende die partielle Integration an

= x^{x^{^{'}} + 1} - \int x d x

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

= x^{x^{^{'}} + 1} - \frac{x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= x^{x^{^{'}} + 1} - \frac{x ^{2}}{2} + C

Graph

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