integral from 0 to 8/3 of 3t-8

Lösung

\int_{0}^{\frac{8}{3}} 3 t - 8 d t

- \frac{32}{3}

Dezimale

- 10.66666 \dots

Schritte zur Lösung

\int_{0}^{\frac{8}{3}} 3 t - 8 d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{\frac{8}{3}} 3 t d t - \int_{0}^{\frac{8}{3}} 8 d t

\int_{0}^{\frac{8}{3}} 3 t d t = \frac{32}{3}

\int_{0}^{\frac{8}{3}} 8 d t = \frac{64}{3}

= \frac{32}{3} - \frac{64}{3}

Vereinfache

\frac{32}{3} - \frac{64}{3} : - \frac{32}{3}

= - \frac{32}{3}