integral from 1 to e^3 of 1/(x(1+ln(x)))

Lösung

\int_{1}^{e^{3}} \frac{1}{x ( 1 + ln ( x ) )} d x

2 ln (2)

Dezimale

1.38629 \dots

Schritte zur Lösung

\int_{1}^{e^{3}} \frac{1}{x ( 1 + ln ( x ) )} d x

Wende U-Substitution an

= \int_{1}^{4} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{1}^{4}

Berechne die Grenzen:

2 ln (2)

= 2 ln (2)

y^{^{''}} + 25 y = 4 csc^{2} (5 t)

\frac{\partial}{\partial x} (3 x cos (y))

x \to 0 lim (\frac{1}{cos ( 8 x )})

\frac{d}{d x} (- 11 (4 x^{3} - 11)^{13})

t an g e n t \frac{6 x}{x + 3}