integral from 3/2 to 2 of 3/8 x^2

Lösung

\int_{\frac{3}{2}}^{2} \frac{3}{8} x^{2} d x

\frac{37}{64}

Dezimale

0.578125

Schritte zur Lösung

\int_{\frac{3}{2}}^{2} \frac{3}{8} x^{2} d x

Entferne die Konstante:

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

= \frac{3}{8} \cdot \int_{\frac{3}{2}}^{2} x^{2} d x

Wende die Potenzregel an

= \frac{3}{8} [\frac{x ^{3}}{3}]_{\frac{3}{2}}^{2}

Berechne die Grenzen:

\frac{37}{24}

= \frac{3}{8} \cdot \frac{37}{24}

Vereinfache

= \frac{37}{64}

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