integral from 5 to 10 of 2/5-1/25 x

Lösung

\int_{5}^{10} \frac{2}{5} - \frac{1}{25} x d x

\frac{1}{2}

Dezimale

0.5

Schritte zur Lösung

\int_{5}^{10} \frac{2}{5} - \frac{1}{25} 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_{5}^{10} \frac{2}{5} d x - \int_{5}^{10} \frac{1}{25} x d x

\int_{5}^{10} \frac{2}{5} d x = 2

\int_{5}^{10} \frac{1}{25} x d x = \frac{3}{2}

= 2 - \frac{3}{2}

Vereinfache

2 - \frac{3}{2} : \frac{1}{2}

= \frac{1}{2}