integral from 4 to t of (12)/(sqrt(x))

Lösung

\int_{4}^{t} \frac{12}{x} d x

12 (2 t - 4)

Schritte zur Lösung

\int_{4}^{t} \frac{12}{x} d x

Entferne die Konstante:

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

= 12 \cdot \int_{4}^{t} \frac{1}{x} d x

Wende die Potenzregel an

= 12 [2 x^{\frac{1}{2}}]_{4}^{t}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

= 12 [2 x]_{4}^{t}

Berechne die Grenzen:

2 t - 4

= 12 (2 t - 4)

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