integral from 2 to 4 of x^2-3x+4

Lösung

\int_{2}^{4} x^{2} - 3 x + 4 d x

\frac{26}{3}

Dezimale

8.66666 \dots

Schritte zur Lösung

\int_{2}^{4} x^{2} - 3 x + 4 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_{2}^{4} x^{2} d x - \int_{2}^{4} 3 x d x + \int_{2}^{4} 4 d x

\int_{2}^{4} x^{2} d x = \frac{56}{3}

\int_{2}^{4} 3 x d x = 18

\int_{2}^{4} 4 d x = 8

= \frac{56}{3} - 18 + 8

Vereinfache

\frac{56}{3} - 18 + 8 : \frac{26}{3}

= \frac{26}{3}

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