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

Lösung

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

\frac{76}{3}

Dezimale

25.33333 \dots

Schritte zur Lösung

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

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

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

\int_{- 2}^{2} 5 d x = 20

= \frac{16}{3} - 0 + 20

Vereinfache

\frac{16}{3} - 0 + 20 : \frac{76}{3}

= \frac{76}{3}

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