integral from e to 4e of 1/x

Lösung

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

ln (4 e) - 1

Dezimale

1.38629 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{e}^{4 e}

Berechne die Grenzen:

ln (4 e) - 1

= ln (4 e) - 1

d er i v a t i v e 12 x 3 1 - x x + 1

\int_{0}^{l n (3)} e^{x} - e^{- 4 x} d x

\frac{\partial}{\partial y} (1 + y^{2} sin (2 x))

\int x (1 + x^{2}) d x

\frac{d}{d x} (x^{3} - 12 x^{2} + 45 x)