integral from 50 to 100 of 1/x

Lösung

\int_{50}^{100} \frac{1}{x} d x

ln (2)

Dezimale

0.69314 \dots

Schritte zur Lösung

\int_{50}^{100} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{50}^{100}

Berechne die Grenzen:

2 ln (10) - ln (50)

= 2 ln (10) - ln (50)

Vereinfache

= ln (2)

\int_{1}^{0} z e^{- 1} d z

\int_{0}^{π} e^{- s t} d t

\int_{1}^{3} \frac{6}{x} d x

\int_{0}^{2} 1 + (2 y - 2)^{2} d y

\int_{- l n (2)}^{l n (2)} x sinh (x) d x