integral from 1 to 3 of x^2-3x+1

Lösung

\int_{1}^{3} x^{2} - 3 x + 1 d x

- \frac{4}{3}

Dezimale

- 1.33333 \dots

Schritte zur Lösung

\int_{1}^{3} x^{2} - 3 x + 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}^{3} x^{2} d x - \int_{1}^{3} 3 x d x + \int_{1}^{3} 1 d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 3 x d x = 12

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

= \frac{26}{3} - 12 + 2

Vereinfache

\frac{26}{3} - 12 + 2 : - \frac{4}{3}

= - \frac{4}{3}

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