integral from 3 to 4 of 1/x

Lösung

\int_{3}^{4} \frac{1}{x} d x

2 ln (2) - ln (3)

Dezimale

0.28768 \dots

Schritte zur Lösung

\int_{3}^{4} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{3}^{4}

Berechne die Grenzen:

2 ln (2) - ln (3)

= 2 ln (2) - ln (3)

\int_{- \frac{π}{2}}^{\frac{π}{2}} (cos (x) - 3) d x

\int_{0}^{15} ∣ 13 - x ∣ d x

\int_{0}^{1} x^{2} e^{6 x} d x

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

\int_{1}^{2} x^{3} cos (x^{4}) d x