integral from 3 to 4 of 7x^3

Lösung

\int_{3}^{4} 7 x^{3} d x

\frac{1225}{4}

Dezimale

306.25

Schritte zur Lösung

\int_{3}^{4} 7 x^{3} d x

Entferne die Konstante:

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

= 7 \cdot \int_{3}^{4} x^{3} d x

Wende die Potenzregel an

= 7 [\frac{x ^{4}}{4}]_{3}^{4}

Berechne die Grenzen:

\frac{175}{4}

= 7 \cdot \frac{175}{4}

Vereinfache

= \frac{1225}{4}

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