integral from 1 to 2 of (-x^2+5)

Lösung

\int_{1}^{2} (- x^{2} + 5) d x

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= - \frac{7}{3} + 5

Vereinfache

- \frac{7}{3} + 5 : \frac{8}{3}

= \frac{8}{3}

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\int_{0}^{2} x^{3} + 2 x d x