integral from-1 to 2 of 4x+x^2

Lösung

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

9

Schritte zur Lösung

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

\int_{- 1}^{2} 4 x d x = 6

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

= 6 + 3

Vereinfache

= 9

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