integral from 0 to 1 of (5x+sqrt(x))

Lösung

\int_{0}^{1} (5 x + x) d x

\frac{19}{6}

Dezimale

3.16666 \dots

Schritte zur Lösung

\int_{0}^{1} 5 x + x 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_{0}^{1} 5 x d x + \int_{0}^{1} x d x

\int_{0}^{1} 5 x d x = \frac{5}{2}

\int_{0}^{1} x d x = \frac{2}{3}

= \frac{5}{2} + \frac{2}{3}

Vereinfache

\frac{5}{2} + \frac{2}{3} : \frac{19}{6}

= \frac{19}{6}

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