integral from 3 to 5 of (x^2+2x-2)

Lösung

\int_{3}^{5} (x^{2} + 2 x - 2) d x

\frac{134}{3}

Dezimale

44.66666 \dots

Schritte zur Lösung

\int_{3}^{5} x^{2} + 2 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_{3}^{5} x^{2} d x + \int_{3}^{5} 2 x d x - \int_{3}^{5} 2 d x

\int_{3}^{5} x^{2} d x = \frac{98}{3}

\int_{3}^{5} 2 x d x = 16

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

= \frac{98}{3} + 16 - 4

Vereinfache

\frac{98}{3} + 16 - 4 : \frac{134}{3}

= \frac{134}{3}

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