integral from 5/3 to 3 of 3t-5

Lösung

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

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

\int_{\frac{5}{3}}^{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_{\frac{5}{3}}^{3} 3 t d t - \int_{\frac{5}{3}}^{3} 5 d t

\int_{\frac{5}{3}}^{3} 3 t d t = \frac{28}{3}

\int_{\frac{5}{3}}^{3} 5 d t = \frac{20}{3}

= \frac{28}{3} - \frac{20}{3}

Vereinfache

\frac{28}{3} - \frac{20}{3} : \frac{8}{3}

= \frac{8}{3}

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