integral from 0 to 60 of x/2

Lösung

\int_{0}^{60} \frac{x}{2} d x

900

Schritte zur Lösung

\int_{0}^{60} \frac{x}{2} d x

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int_{0}^{60} x d x

Wende die Potenzregel an

= \frac{1}{2} [\frac{x ^{2}}{2}]_{0}^{60}

Berechne die Grenzen:

1800

= \frac{1}{2} \cdot 1800

Vereinfache

= 900

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

\int_{- \frac{π}{3}}^{\frac{π}{3}} sec^{2} (x) d x

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

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

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