integral from 1 to 4 of (2+5x)/(sqrt(x))

Lösung

\int_{1}^{4} \frac{2 + 5 x}{x} d x

\frac{82}{3}

Dezimale

27.33333 \dots

Schritte zur Lösung

\int_{1}^{4} \frac{2 + 5 x}{x} d x

Wende die partielle Integration an

= [2 x (2 + 5 x) - \int 10 x d x]_{1}^{4}

\int 10 x d x = \frac{20}{3} x^{\frac{3}{2}}

= [2 x (2 + 5 x) - \frac{20}{3} x^{\frac{3}{2}}]_{1}^{4}

Berechne die Grenzen:

\frac{82}{3}

= \frac{82}{3}

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