integral from 0 to 5 of 3t-8

Lösung

\int_{0}^{5} 3 t - 8 d t

- \frac{5}{2}

Dezimale

- 2.5

Schritte zur Lösung

\int_{0}^{5} 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}^{5} 3 t d t - \int_{0}^{5} 8 d t

\int_{0}^{5} 3 t d t = \frac{75}{2}

\int_{0}^{5} 8 d t = 40

= \frac{75}{2} - 40

Vereinfache

\frac{75}{2} - 40 : - \frac{5}{2}

= - \frac{5}{2}

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