integral from 1 to 6 of 5+sqrt(t)

Lösung

\int_{1}^{6} 5 + t d t

46 + \frac{73}{3}

Dezimale

34.13129 \dots

Schritte zur Lösung

\int_{1}^{6} 5 + t 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_{1}^{6} 5 d t + \int_{1}^{6} t d t

\int_{1}^{6} 5 d t = 25

\int_{1}^{6} t d t = 46 - \frac{2}{3}

= 25 + 46 - \frac{2}{3}

Ziehe Brüche zusammen

25 - \frac{2}{3} : \frac{73}{3}

= 46 + \frac{73}{3}

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