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Beliebt Rechnen >

integral of 1/2 (5-x)

Lösung

\int \frac{1}{2} (5 - x) d x

Lösung

\frac{1}{2} (5 x - \frac{x ^{2}}{2}) + C

Schritte zur Lösung

\int \frac{1}{2} (5 - x) d x

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int 5 - 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

= \frac{1}{2} (\int 5 d x - \int x d x)

\int 5 d x = 5 x

\int x d x = \frac{x ^{2}}{2}

= \frac{1}{2} (5 x - \frac{x ^{2}}{2})

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} (5 x - \frac{x ^{2}}{2}) + C

Graph

Beliebte Beispiele

integral of sqrt(x^2+1)*x

\int x^{2} + 1 \cdot x d x

integral of xe^{3x^2-1}

\int x e^{3 x^{2} - 1} d x

integral of 2/(sqrt(5x))

\int \frac{2}{5 x} d x

integral of (1+u+u^2+u^5)

\int (1 + u + u^{2} + u^{5}) d u

integral of 1/(xln(x)+x)

\int \frac{1}{x ln ( x ) + x} d x