integral from 1 to 4 of 63x^{5/2}

Lösung

\int_{1}^{4} 63 x^{\frac{5}{2}} d x

2286

Schritte zur Lösung

\int_{1}^{4} 63 x^{\frac{5}{2}} d x

Entferne die Konstante:

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

= 63 \cdot \int_{1}^{4} x^{\frac{5}{2}} d x

Wende die Potenzregel an

= 63 [\frac{2}{7} x^{\frac{7}{2}}]_{1}^{4}

Berechne die Grenzen:

\frac{254}{7}

= 63 \cdot \frac{254}{7}

Vereinfache

= 2286

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