integral from x-2 to x+2 of 3/220 y

Lösung

\int_{x - 2}^{x + 2} \frac{3}{220} y d y

\frac{3 x}{55}

Schritte zur Lösung

\int_{x - 2}^{x + 2} \frac{3}{220} y d y

Entferne die Konstante:

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

= \frac{3}{220} \cdot \int_{x - 2}^{x + 2} y d y

Wende die Potenzregel an

= \frac{3}{220} [\frac{y ^{2}}{2}]_{x - 2}^{x + 2}

Berechne die Grenzen:

\frac{( x + 2 ) ^{2}}{2} - \frac{( x - 2 ) ^{2}}{2}

= \frac{3}{220} (\frac{( x + 2 ) ^{2}}{2} - \frac{( x - 2 ) ^{2}}{2})

Vereinfache

= \frac{3 x}{55}

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