integral from-2 to 3 of [te^t]

Lösung

\int_{- 2}^{3} [t e^{t}] d t

2 e^{3} + \frac{3}{e ^{2}}

Dezimale

40.57707 \dots

Schritte zur Lösung

\int_{- 2}^{3} t e^{t} d t

Wende die partielle Integration an

= [e^{t} t - \int e^{t} d t]_{- 2}^{3}

\int e^{t} d t = e^{t}

= [e^{t} t - e^{t}]_{- 2}^{3}

Berechne die Grenzen:

2 e^{3} + \frac{3}{e ^{2}}

= 2 e^{3} + \frac{3}{e ^{2}}

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