integral from 0 to 1 of (5x+1)e^{5x}

Lösung

\int_{0}^{1} (5 x + 1) e^{5 x} d x

e^{5}

Dezimale

148.41315 \dots

Schritte zur Lösung

\int_{0}^{1} (5 x + 1) e^{5 x} d x

Wende die partielle Integration an

= [e^{5 x} x + \frac{1}{5} e^{5 x} - \int e^{5 x} d x]_{0}^{1}

\int e^{5 x} d x = \frac{1}{5} e^{5 x}

= [e^{5 x} x + \frac{1}{5} e^{5 x} - \frac{1}{5} e^{5 x}]_{0}^{1}

Addiere gleiche Elemente:

\frac{1}{5} e^{5 x} - \frac{1}{5} e^{5 x} = 0

= [e^{5 x} x]_{0}^{1}

Berechne die Grenzen:

e^{5}

= e^{5}

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