integral from 1 to t of 1/(sqrt(x))

Lösung

\int_{1}^{t} \frac{1}{x} d x

2 t - 2

Schritte zur Lösung

\int_{1}^{t} \frac{1}{x} d x

Wende die Potenzregel an

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

Wende Radikal Regel an:

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

= [2 x]_{1}^{t}

Berechne die Grenzen:

2 t - 2

= 2 t - 2

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