integral from 1/2 to 3/4 of 2x

Lösung

\int_{\frac{1}{2}}^{\frac{3}{4}} 2 x d x

\frac{5}{16}

Dezimale

0.3125

Schritte zur Lösung

\int_{\frac{1}{2}}^{\frac{3}{4}} 2 x d x

Entferne die Konstante:

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

= 2 \cdot \int_{\frac{1}{2}}^{\frac{3}{4}} x d x

Wende die Potenzregel an

= 2 [\frac{x ^{2}}{2}]_{\frac{1}{2}}^{\frac{3}{4}}

Berechne die Grenzen:

\frac{5}{32}

= 2 \cdot \frac{5}{32}

Vereinfache

= \frac{5}{16}

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