integral from 1 to 8 of 3sqrt(x)

Lösung

\int_{1}^{8} 3 x d x

322 - 2

Dezimale

43.25483 \dots

Schritte zur Lösung

\int_{1}^{8} 3 x d x

Entferne die Konstante:

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

= 3 \cdot \int_{1}^{8} x d x

Wende die Potenzregel an

= 3 [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{8}

Berechne die Grenzen:

\frac{32 2}{3} - \frac{2}{3}

= 3 (\frac{32 2}{3} - \frac{2}{3})

Vereinfache

= 322 - 2

\int_{\frac{π}{3}}^{π} (sin (x)) d x

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