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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{1}{2}

+1

Dezimale

- 0.5

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

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

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

Vereinfache

= - \frac{1}{2}

Beliebte Beispiele

integral from-x to x of t^3+t

\int_{- x}^{x} t^{3} + t d t

integral from 3 to 6 of (-5x+6)

\int_{3}^{6} (- 5 x + 6) d x

integral from 0 to 3x of (2e^{3+x^3})

\int_{0}^{3 x} (2 e^{3 + x^{3}}) d x

integral from 0 to c of 2e^x

\int_{0}^{c} 2 e^{x} d x

integral from 1 to e^3 of 2/x

\int_{1}^{e^{3}} \frac{2}{x} d x