integral from 5 to 11 of ln(x-5)

Lösung

\int_{5}^{11} ln (x - 5) d x

6 ln (6) - 6

Dezimale

4.75055 \dots

Schritte zur Lösung

\int_{5}^{11} ln (x - 5) d x

Wende U-Substitution an

= \int_{0}^{6} ln (u) d u

Wende die partielle Integration an

= [u ln (u) - \int 1 d u]_{0}^{6}

\int 1 d u = u

= [u ln (u) - u]_{0}^{6}

Berechne die Grenzen:

6 ln (6) - 6

= 6 ln (6) - 6

\int_{0}^{15} \frac{2}{5} x d x

\int_{- 4}^{0} - y^{2} - 4 y d y

\int_{1}^{6} 6 x + 1 d x

\int_{- 1}^{2} x^{2} (x^{3} + 2)^{2} d x

\int_{- 5}^{4} e^{x + 4} d x