integral from 0 to 3 of 3t-5

Lösung

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

- \frac{3}{2}

Dezimale

- 1.5

Schritte zur Lösung

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

\int_{0}^{3} 3 t d t = \frac{27}{2}

\int_{0}^{3} 5 d t = 15

= \frac{27}{2} - 15

Vereinfache

\frac{27}{2} - 15 : - \frac{3}{2}

= - \frac{3}{2}

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