integral from 3 to 7 of ln(x)+e^x

Lösung

\int_{3}^{7} ln (x) + e^{x} d x

7 ln (7) - 4 - 3 ln (3) + e^{7} - e^{3}

Dezimale

1082.87315 \dots

Schritte zur Lösung

\int_{3}^{7} ln (x) + e^{x} 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_{3}^{7} ln (x) d x + \int_{3}^{7} e^{x} d x

\int_{3}^{7} ln (x) d x = 7 ln (7) - 4 - 3 ln (3)

\int_{3}^{7} e^{x} d x = e^{7} - e^{3}

= 7 ln (7) - 4 - 3 ln (3) + e^{7} - e^{3}

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