integral from-2 to 2 of x^9-3x^5+2x^2-10

Lösung

\int_{- 2}^{2} x^{9} - 3 x^{5} + 2 x^{2} - 10 d x

- \frac{88}{3}

Dezimale

- 29.33333 \dots

Schritte zur Lösung

\int_{- 2}^{2} x^{9} - 3 x^{5} + 2 x^{2} - 10 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}^{2} x^{9} d x - \int_{- 2}^{2} 3 x^{5} d x + \int_{- 2}^{2} 2 x^{2} d x - \int_{- 2}^{2} 10 d x

\int_{- 2}^{2} x^{9} d x = 0

\int_{- 2}^{2} 3 x^{5} d x = 0

\int_{- 2}^{2} 2 x^{2} d x = \frac{32}{3}

\int_{- 2}^{2} 10 d x = 40

= 0 - 0 + \frac{32}{3} - 40

Vereinfache

0 - 0 + \frac{32}{3} - 40 : - \frac{88}{3}

= - \frac{88}{3}

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