integral from 0 to 1 of 3+xsqrt(x)

Lösung

\int_{0}^{1} 3 + x x d x

\frac{17}{5}

Dezimale

3.4

Schritte zur Lösung

\int_{0}^{1} 3 + 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} 3 d x + \int_{0}^{1} x x d x

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

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

= 3 + \frac{2}{5}

Vereinfache

3 + \frac{2}{5} : \frac{17}{5}

= \frac{17}{5}

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