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

Lösung

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

- \frac{9}{2}

Dezimale

- 4.5

Schritte zur Lösung

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

\int_{- 2}^{1} 2 x^{3} d x = - \frac{15}{2}

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

= - \frac{15}{2} + 3

Vereinfache

- \frac{15}{2} + 3 : - \frac{9}{2}

= - \frac{9}{2}

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