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

Lösung

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

e^{2} + 3

Dezimale

10.38905 \dots

Schritte zur Lösung

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

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

\int_{0}^{2} 2 d x = 4

= e^{2} - 1 + 4

Vereinfache

= e^{2} + 3

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