integral from 5 to 10 of 1/x

Lösung

\int_{5}^{10} \frac{1}{x} d x

ln (2)

Dezimale

0.69314 \dots

Schritte zur Lösung

\int_{5}^{10} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{5}^{10}

Berechne die Grenzen:

ln (10) - ln (5)

= ln (10) - ln (5)

Vereinfache

= ln (2)

\int_{0}^{l n (2)} 1

\int_{- 2}^{3} (- 2 ∣ x ∣) d x

\int_{0}^{8} 3 d x

\int_{0}^{1} a x + b x^{3} d x

\int_{0}^{0.5} - 2 x + 1 d x