integral from 3 to 9 of 1/(x(ln(x))^2)

Lösung

\int_{3}^{9} \frac{1}{x ( ln ( x ) ) ^{2}} d x

\frac{1}{2 ln ( 3 )}

Dezimale

0.45511 \dots

Schritte zur Lösung

\int_{3}^{9} \frac{1}{x ( ln ( x ) ) ^{2}} d x

Wende U-Substitution an

= \int_{l n (3)}^{2 l n (3)} \frac{1}{u ^{2}} d u

Wende die Potenzregel an

= [- \frac{1}{u}]_{l n (3)}^{2 l n (3)}

Berechne die Grenzen:

\frac{1}{2 ln ( 3 )}

= \frac{1}{2 ln ( 3 )}

d er i v a t i v e f (x) = \frac{1 - 4 x}{3 + x}

x \to 5 lim (ln (x - 4) + \frac{1}{2})

\int n o n e d x

\int \frac{e ^{\frac{1}{x ^{3}}}}{x ^{4}} d x

\frac{\partial}{\partial x} (8 x^{2} cos (5) x^{3})