integral from 0 to 7 of 3sqrt(x+9)

Lösung

\int_{0}^{7} 3 x + 9 d x

74

Schritte zur Lösung

\int_{0}^{7} 3 x + 9 d x

Entferne die Konstante:

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

= 3 \cdot \int_{0}^{7} x + 9 d x

Wende U-Substitution an

= 3 \cdot \int_{9}^{16} u d u

Wende die Potenzregel an

= 3 [\frac{2}{3} u^{\frac{3}{2}}]_{9}^{16}

Berechne die Grenzen:

\frac{74}{3}

= 3 \cdot \frac{74}{3}

Vereinfache

= 74

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