integral from 1 to 6 of (5x+1)

Lösung

\int_{1}^{6} (5 x + 1) d x

\frac{185}{2}

Dezimale

92.5

Schritte zur Lösung

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

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 x d x + \int_{1}^{6} 1 d x

\int_{1}^{6} 5 x d x = \frac{175}{2}

\int_{1}^{6} 1 d x = 5

= \frac{175}{2} + 5

Vereinfache

\frac{175}{2} + 5 : \frac{185}{2}

= \frac{185}{2}

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