integral from-1 to 2 of 3x^2+2x-1

Lösung

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

9

Schritte zur Lösung

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

\int_{- 1}^{2} 3 x^{2} d x = 9

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

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

= 9 + 3 - 3

Vereinfache

= 9

\int_{- 2}^{2} e^{- \frac{x ^{2}}{2}} d x

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