integral from 0 to 7 of |x-4|

Lösung

\int_{0}^{7} ∣ x - 4 ∣ d x

\frac{25}{2}

Dezimale

12.5

Schritte zur Lösung

\int_{0}^{7} ∣ x - 4 ∣ d x

Entferne die Extremwerte

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

\int_{0}^{4} - x + 4 d x = 8

\int_{4}^{7} x - 4 d x = \frac{9}{2}

= 8 + \frac{9}{2}

Vereinfache

8 + \frac{9}{2} : \frac{25}{2}

= \frac{25}{2}

\int_{0}^{1} \frac{x}{( 1 + x ^{2} )} d x

\int_{- 1}^{5} x d x

\int_{- a}^{a} 1 d x

\int_{1}^{3} (8 x - 1) e^{4 x^{2} - x} d x

\int_{0}^{5} 1 + 4 x^{2} d x