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Beliebt Rechnen >

integral from 0 to 7 of |sqrt(4x+5)-x|

Lösung

\int_{0}^{7} 4 x + 5 - x d x

Lösung

- \frac{1}{2} + \frac{250 - 5 5 - 33 33}{6}

+1

Dezimale

7.70818 \dots

Schritte zur Lösung

\int_{0}^{7} 4 x + 5 - x d x

Entferne die Extremwerte

= \int_{0}^{5} 4 x + 5 - x d x + \int_{5}^{7} - 4 x + 5 + x d x

\int_{0}^{5} 4 x + 5 - x d x = \frac{5 ( 25 - 5 )}{6} - \frac{25}{2}

\int_{5}^{7} - 4 x + 5 + x d x = - \frac{33 33 - 125}{6} + 12

= \frac{5 ( 25 - 5 )}{6} - \frac{25}{2} - \frac{33 33 - 125}{6} + 12

Ziehe Brüche zusammen

12 - \frac{25}{2} : - \frac{1}{2}

Ziehe Brüche zusammen

\frac{5 ( 25 - 5 )}{6} - \frac{33 33 - 125}{6} : \frac{250 - 5 5 - 33 33}{6}

= - \frac{1}{2} + \frac{250 - 5 5 - 33 33}{6}

Graph

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