integral from-infinity to 0 of e^xsin(x)

Lösung

\int_{- \infty}^{0} e^{x} sin (x) d x

- \frac{1}{2}

Dezimale

- 0.5

Schritte zur Lösung

\int_{- \infty}^{0} e^{x} sin (x) d x

Berechne das unbestimmte Integral:

\int e^{x} sin (x) d x = - \frac{e ^{x} cos ( x )}{2} + \frac{e ^{x} sin ( x )}{2} + C

Berechne die Grenzen:

\int_{- \infty}^{0} e^{x} sin (x) d x = - \frac{1}{2} - 0

= - \frac{1}{2} - 0

Vereinfache

= - \frac{1}{2}

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