integral from-4 to 4 of (-x^2+16)

Lösung

\int_{- 4}^{4} (- x^{2} + 16) d x

\frac{256}{3}

Dezimale

85.33333 \dots

Schritte zur Lösung

\int_{- 4}^{4} - x^{2} + 16 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} 16 d x

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

\int_{- 4}^{4} 16 d x = 128

= - \frac{128}{3} + 128

Vereinfache

- \frac{128}{3} + 128 : \frac{256}{3}

= \frac{256}{3}

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