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Beliebt Rechnen >

integral from-1 to 2 of (y+2)-y^2

Lösung

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

Lösung

\frac{9}{2}

+1

Dezimale

4.5

Schritte zur Lösung

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

\int_{- 1}^{2} y d y = \frac{3}{2}

\int_{- 1}^{2} 2 d y = 6

\int_{- 1}^{2} y^{2} d y = 3

= \frac{3}{2} + 6 - 3

Vereinfache

\frac{3}{2} + 6 - 3 : \frac{9}{2}

= \frac{9}{2}

Graph

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