integral from 1 to 5 of x/2

Lösung

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

6

Schritte zur Lösung

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

Wende die Potenzregel an

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

Berechne die Grenzen:

12

= \frac{1}{2} \cdot 12

Vereinfache

= 6

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

\int_{3}^{\infty} 2 e^{- 2 x} d x

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

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

\int_{0}^{1} x x - 1 d x