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

Lösung

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

- \frac{7}{6}

Dezimale

- 1.16666 \dots

Schritte zur Lösung

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

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

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

Vereinfache

\frac{19}{3} - \frac{15}{2} : - \frac{7}{6}

= - \frac{7}{6}

\int_{1}^{3} \frac{x}{x ^{2} + x - 6} d x

\int_{- 1}^{1} x^{3} + x^{5} + 7 x^{9} d x

\int_{0}^{16} x - 3 d x

\int_{1}^{3} (x^{2} - 6 x + 5) d x

\int_{2}^{4} 3 x - 1 + 2 x^{2} d x