integral from-1 to 1 of-x^2+4

Lösung

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

\frac{22}{3}

Dezimale

7.33333 \dots

Schritte zur Lösung

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

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

\int_{- 1}^{1} 4 d x = 8

= - \frac{2}{3} + 8

Vereinfache

- \frac{2}{3} + 8 : \frac{22}{3}

= \frac{22}{3}

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