integral from 1 to 2 of x/6

Lösung

\int_{1}^{2} \frac{x}{6} d x

\frac{1}{4}

Dezimale

0.25

Schritte zur Lösung

\int_{1}^{2} \frac{x}{6} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{6} \cdot \int_{1}^{2} x d x

Wende die Potenzregel an

= \frac{1}{6} [\frac{x ^{2}}{2}]_{1}^{2}

Berechne die Grenzen:

\frac{3}{2}

= \frac{1}{6} \cdot \frac{3}{2}

Vereinfache

= \frac{1}{4}

\int_{- 2}^{2} t d t

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