integral from 0 to 7 of x^2-6x+5

Lösung

\int_{0}^{7} x^{2} - 6 x + 5 d x

\frac{7}{3}

Dezimale

2.33333 \dots

Schritte zur Lösung

\int_{0}^{7} x^{2} - 6 x + 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_{0}^{7} x^{2} d x - \int_{0}^{7} 6 x d x + \int_{0}^{7} 5 d x

\int_{0}^{7} x^{2} d x = \frac{343}{3}

\int_{0}^{7} 6 x d x = 147

\int_{0}^{7} 5 d x = 35

= \frac{343}{3} - 147 + 35

Vereinfache

\frac{343}{3} - 147 + 35 : \frac{7}{3}

= \frac{7}{3}

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