integral from 1 to 5 of 7/(sqrt(x))

Lösung

\int_{1}^{5} \frac{7}{x} d x

7 (25 - 2)

Dezimale

17.30495 \dots

Schritte zur Lösung

\int_{1}^{5} \frac{7}{x} d x

Entferne die Konstante:

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

= 7 \cdot \int_{1}^{5} \frac{1}{x} d x

Wende die Potenzregel an

= 7 [2 x^{\frac{1}{2}}]_{1}^{5}

Wende Radikal Regel an:

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

= 7 [2 x]_{1}^{5}

Berechne die Grenzen:

25 - 2

= 7 (25 - 2)

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