integral from-1 to 1 of (-30x^2+4xy)

Lösung

\int_{- 1}^{1} (- 30 x^{2} + 4 x y) d y

- 60 x^{2}

Schritte zur Lösung

\int_{- 1}^{1} - 30 x^{2} + 4 x 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} 30 x^{2} d y + \int_{- 1}^{1} 4 x y d y

\int_{- 1}^{1} 30 x^{2} d y = 60 x^{2}

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

= - 60 x^{2} + 0

Vereinfache

= - 60 x^{2}

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