integral from-1 to 1 of (2x-4y)

Lösung

\int_{- 1}^{1} (2 x - 4 y) d y

4 x

Schritte zur Lösung

\int_{- 1}^{1} 2 x - 4 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}^{1} 2 x d y - \int_{- 1}^{1} 4 y d y

\int_{- 1}^{1} 2 x d y = 4 x

\int_{- 1}^{1} 4 y d y = 0

= 4 x - 0

Vereinfache

= 4 x

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