integral from-5 to 3 of (|x|)

Lösung

\int_{- 5}^{3} (∣ x ∣) d x

17

Schritte zur Lösung

\int_{- 5}^{3} ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 5}^{0} - x d x + \int_{0}^{3} x d x

\int_{- 5}^{0} - x d x = \frac{25}{2}

\int_{0}^{3} x d x = \frac{9}{2}

= \frac{25}{2} + \frac{9}{2}

Vereinfache

\frac{25}{2} + \frac{9}{2} : 17

= 17

\int_{1}^{3} (\frac{x ^{3} - 1}{x ^{4}}) d x

\int_{3}^{5} 4 x^{2} d x

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

\int_{2}^{4} (16 - x^{2}) d x

\int_{0}^{1} e^{3 x^{3}} d x