integral from-1 to 3 of 6xy-5e^y

Lösung

\int_{- 1}^{3} 6 x y - 5 e^{y} d x

- 20 e^{y} + 24 y

Schritte zur Lösung

\int_{- 1}^{3} 6 x y - 5 e^{y} 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_{- 1}^{3} 5 e^{y} d x + \int_{- 1}^{3} 6 y x d x

\int_{- 1}^{3} 5 e^{y} d x = 20 e^{y}

\int_{- 1}^{3} 6 y x d x = 24 y

= - 20 e^{y} + 24 y

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