integral from 3 to 4 of (2x-5)^4

Lösung

\int_{3}^{4} (2 x - 5)^{4} d x

\frac{121}{5}

Dezimale

24.2

Schritte zur Lösung

\int_{3}^{4} (2 x - 5)^{4} d x

Wende U-Substitution an

= \int_{1}^{3} \frac{u ^{4}}{2} d u

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int_{1}^{3} u^{4} d u

Wende die Potenzregel an

= \frac{1}{2} [\frac{u ^{5}}{5}]_{1}^{3}

Berechne die Grenzen:

\frac{242}{5}

= \frac{1}{2} \cdot \frac{242}{5}

Vereinfache

= \frac{121}{5}

\int_{0}^{6} 3 x + 7 d x

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