integral from 1 to 6 of ln(2x)

Lösung

\int_{1}^{6} ln (2 x) d x

ln (1492992) - 5

Dezimale

9.21629 \dots

Schritte zur Lösung

\int_{1}^{6} ln (2 x) d x

Wende die partielle Integration an

= [x ln (2 x) - \int 1 d x]_{1}^{6}

\int 1 d x = x

= [x ln (2 x) - x]_{1}^{6}

Berechne die Grenzen:

6 ln (12) - 5 - ln (2)

= 6 ln (12) - 5 - ln (2)

Vereinfache

= ln (1492992) - 5

\int_{0}^{\frac{π}{2}} 2 cos^{3} (x) d x

\int_{- 2}^{5} 6 x - x^{2} d x

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

\int_{l}^{u} r \cdot e^{- t \cdot r} d t

\int_{4}^{5.2} ln (x) d x