integral of e^{ln(5x)}

Lösung

\int e^{l n (5 x)} d x

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

Schritte zur Lösung

\int e^{l n (5 x)} d x

Wende die partielle Integration an

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

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

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

Füge eine Konstante zur Lösung hinzu

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

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