integral from 1 to 2 of 1/2 x

Lösung

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

\frac{3}{4}

Dezimale

0.75

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{3}{2}

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

Vereinfache

= \frac{3}{4}

\int_{- 2}^{0} (6 x^{2} - 8 x) d x

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