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

Lösung

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

4

Schritte zur Lösung

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

\int_{- 1}^{1} x^{3} d x = 0

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

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

= 0 + 0 + 4

Vereinfache

= 4

\int_{0}^{0.1} 150 x d x

\int_{- \infty}^{\infty} t e^{- t^{2}} d t

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