integral from x/2 to 2x-(x^2)/4 of 1

Lösung

\int_{\frac{x}{2}}^{2 x - \frac{x ^{2}}{4}} 1

2 x - \frac{x ^{2}}{4} - \frac{x}{2}

Schritte zur Lösung

\int_{\frac{x}{2}}^{2 x - \frac{x ^{2}}{4}} 1 d x

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot x]_{\frac{x}{2}}^{2 x - \frac{x ^{2}}{4}}

Vereinfache

= [x]_{\frac{x}{2}}^{2 x - \frac{x ^{2}}{4}}

Berechne die Grenzen:

2 x - \frac{x ^{2}}{4} - \frac{x}{2}

= 2 x - \frac{x ^{2}}{4} - \frac{x}{2}

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