integral from-4 to 4 of x^2-3

Lösung

\int_{- 4}^{4} x^{2} - 3 d x

\frac{56}{3}

Dezimale

18.66666 \dots

Schritte zur Lösung

\int_{- 4}^{4} x^{2} - 3 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_{- 4}^{4} x^{2} d x - \int_{- 4}^{4} 3 d x

\int_{- 4}^{4} x^{2} d x = \frac{128}{3}

\int_{- 4}^{4} 3 d x = 24

= \frac{128}{3} - 24

Vereinfache

\frac{128}{3} - 24 : \frac{56}{3}

= \frac{56}{3}

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