integral from 1 to 2 of pix^4

Lösung

\int_{1}^{2} π x^{4} d x

\frac{31 π}{5}

Dezimale

19.47787 \dots

Schritte zur Lösung

\int_{1}^{2} π x^{4} d x

Entferne die Konstante:

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

= π \cdot \int_{1}^{2} x^{4} d x

Wende die Potenzregel an

= π [\frac{x ^{5}}{5}]_{1}^{2}

Berechne die Grenzen:

\frac{31}{5}

= π \frac{31}{5}

Vereinfache

= \frac{31 π}{5}

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