integral from-2 to 4 of e^{|x|}

Lösung

\int_{- 2}^{4} e^{∣ x ∣} d x

e^{4} + e^{2} - 2

Dezimale

59.98720 \dots

Schritte zur Lösung

\int_{- 2}^{4} e^{∣ x ∣} d x

Entferne die Extremwerte

= \int_{- 2}^{0} e^{- x} d x + \int_{0}^{4} e^{x} d x

\int_{- 2}^{0} e^{- x} d x = e^{2} - 1

\int_{0}^{4} e^{x} d x = e^{4} - 1

= e^{2} - 1 + e^{4} - 1

Vereinfache

= e^{4} + e^{2} - 2

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