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

Lösung

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

\frac{5}{6}

Dezimale

0.83333 \dots

Schritte zur Lösung

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

\int_{2}^{3} x^{2} d x = \frac{19}{3}

\int_{2}^{3} 3 x d x = \frac{15}{2}

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

= \frac{19}{3} - \frac{15}{2} + 2

Vereinfache

\frac{19}{3} - \frac{15}{2} + 2 : \frac{5}{6}

= \frac{5}{6}