integral from a to 7a of 1/x

Lösung

\int_{a}^{7 a} \frac{1}{x} d x

ln (7)

Dezimale

1.94591 \dots

Schritte zur Lösung

\int_{a}^{7 a} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{a}^{7 a}

Berechne die Grenzen:

ln (7 ∣ a ∣) - ln ∣ a ∣

= ln (7 ∣ a ∣) - ln ∣ a ∣

Vereinfache

= ln (7)

\int_{0}^{u} \frac{t}{t + 1} d t

\int_{1}^{c o s (x)} 8 t^{7} d t

\int_{1}^{2} - \frac{6}{x ^{2}} d x

\int_{1}^{e} \frac{ln ( x ^{4} )}{x} d x

\int_{2}^{3} \frac{1}{3} d x