integral from-5 to 5 of (x^4+4x^2)

Lösung

\int_{- 5}^{5} (x^{4} + 4 x^{2}) d x

\frac{4750}{3}

Dezimale

1583.33333 \dots

Schritte zur Lösung

\int_{- 5}^{5} x^{4} + 4 x^{2} 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_{- 5}^{5} x^{4} d x + \int_{- 5}^{5} 4 x^{2} d x

\int_{- 5}^{5} x^{4} d x = 1250

\int_{- 5}^{5} 4 x^{2} d x = \frac{1000}{3}

= 1250 + \frac{1000}{3}

Vereinfache

1250 + \frac{1000}{3} : \frac{4750}{3}

= \frac{4750}{3}

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