integral from 0 to 5 of x/5

Lösung

\int_{0}^{5} \frac{x}{5} d x

\frac{5}{2}

Dezimale

2.5

Schritte zur Lösung

\int_{0}^{5} \frac{x}{5} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Wende die Potenzregel an

= \frac{1}{5} [\frac{x ^{2}}{2}]_{0}^{5}

Berechne die Grenzen:

\frac{25}{2}

= \frac{1}{5} \cdot \frac{25}{2}

Vereinfache

= \frac{5}{2}

\int_{0}^{2} \frac{x}{( 1 + x ^{2} )} d x

\int_{0}^{1} (2 x - x^{2}) - (x^{2}) d x

\int_{- \frac{1}{2}}^{\frac{1}{2}} x d x

\int_{3}^{6} \frac{1}{x - 2} d x

\int_{0}^{1} (x^{3} - x^{4}) d x