integral from 0 to 16 of |x-8|

Lösung

\int_{0}^{16} ∣ x - 8 ∣ d x

64

Schritte zur Lösung

\int_{0}^{16} ∣ x - 8 ∣ d x

Entferne die Extremwerte

= \int_{0}^{8} - x + 8 d x + \int_{8}^{16} x - 8 d x

\int_{0}^{8} - x + 8 d x = 32

\int_{8}^{16} x - 8 d x = 32

= 32 + 32

Vereinfache

= 64

\int_{- 3}^{x^{2}} (t - 5) (t + 1) d t

\int_{0}^{1.5} x d x

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

\int_{0}^{t} sin (x^{2}) d x

\int_{- 2}^{- 1} 3 x - 9 d x