integral from-1 to 1 of 5x^2-1

Lösung

\int_{- 1}^{1} 5 x^{2} - 1 d x

\frac{4}{3}

Dezimale

1.33333 \dots

Schritte zur Lösung

\int_{- 1}^{1} 5 x^{2} - 1 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} 5 x^{2} d x - \int_{- 1}^{1} 1 d x

\int_{- 1}^{1} 5 x^{2} d x = \frac{10}{3}

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

= \frac{10}{3} - 2

Vereinfache

\frac{10}{3} - 2 : \frac{4}{3}

= \frac{4}{3}

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