integral from 1 to 5 of sqrt(5x+4)

Lösung

\int_{1}^{5} 5 x + 4 d x

\frac{58 29 - 54}{15}

Dezimale

17.22263 \dots

Schritte zur Lösung

\int_{1}^{5} 5 x + 4 d x

Wende U-Substitution an

= \int_{9}^{29} \frac{u}{5} d u

Entferne die Konstante:

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

= \frac{1}{5} \cdot \int_{9}^{29} u d u

Wende die Potenzregel an

= \frac{1}{5} [\frac{2}{3} u^{\frac{3}{2}}]_{9}^{29}

Berechne die Grenzen:

\frac{58 29}{3} - 18

= \frac{1}{5} (\frac{58 29}{3} - 18)

Vereinfache

= \frac{58 29 - 54}{15}

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