integral from 1.5 to 2 of 3/8 x^2

Lösung

\int_{1.5}^{2} \frac{3}{8} x^{2} d x

0.578125

Schritte zur Lösung

\int_{1.5}^{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_{1.5}^{2} x^{2} d x

Wende die Potenzregel an

= \frac{3}{8} [\frac{x ^{3}}{3}]_{1.5}^{2}

Vereinfache

= 0.375 [0.33333 \dots x^{3}]_{1.5}^{2}

Berechne die Grenzen:

1.54166 \dots

= 0.375 \cdot 1.54166 \dots

Vereinfache

= 0.578125

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