integral from-2 to 0 of x^3+3x^2+2x

Lösung

\int_{- 2}^{0} x^{3} + 3 x^{2} + 2 x d x

0

Schritte zur Lösung

\int_{- 2}^{0} x^{3} + 3 x^{2} + 2 x 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_{- 2}^{0} x^{3} d x + \int_{- 2}^{0} 3 x^{2} d x + \int_{- 2}^{0} 2 x d x

\int_{- 2}^{0} x^{3} d x = - 4

\int_{- 2}^{0} 3 x^{2} d x = 8

\int_{- 2}^{0} 2 x d x = - 4

= - 4 + 8 - 4

Vereinfache

= 0

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