integral from 1 to 2 of e^yy-e^y

Lösung

\int_{1}^{2} e^{y} y - e^{y} d y

e

Dezimale

2.71828 \dots

Schritte zur Lösung

\int_{1}^{2} e^{y} y - e^{y} d y

Wende die Summenregel an:

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

= \int_{1}^{2} e^{y} y d y - \int_{1}^{2} e^{y} d y

\int_{1}^{2} e^{y} y d y = e^{2}

\int_{1}^{2} e^{y} d y = e^{2} - e

= e^{2} - (e^{2} - e)

Vereinfache

= e

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