integral from sqrt(2) to 2 of 1/x

Lösung

\int_{2}^{2} \frac{1}{x} d x

\frac{1}{2} ln (2)

Dezimale

0.34657 \dots

Schritte zur Lösung

\int_{2}^{2} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{2}^{2}

Berechne die Grenzen:

\frac{1}{2} ln (2)

= \frac{1}{2} ln (2)

\int_{1}^{13} 6 x^{2} + 3 x - 2 d x

\int_{1}^{3} (x^{- 2} - \frac{3}{x} + 2 x) d x

\int_{3}^{3} \frac{x - 2}{x + 2} d x

\int_{0}^{1} \frac{x ^{2}}{x ^{3} + 7} d x

\int_{- 1}^{1} (4 x^{3} + 5 x^{2} - x + 1) d x