integral from 3 to 4 of ln(x)

Lösung

\int_{3}^{4} ln (x) d x

8 ln (2) - 1 - 3 ln (3)

Dezimale

1.24934 \dots

Schritte zur Lösung

\int_{3}^{4} ln (x) d x

Wende die partielle Integration an

= [x ln (x) - \int 1 d x]_{3}^{4}

\int 1 d x = x

= [x ln (x) - x]_{3}^{4}

Berechne die Grenzen:

8 ln (2) - 1 - 3 ln (3)

= 8 ln (2) - 1 - 3 ln (3)

\int_{0}^{1} x x + 1 d x

\int_{0}^{x^{2}} 1 + t^{2} d t

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

\int_{0}^{1} \frac{x ^{2}}{2} d x

\int_{- 3}^{1} \frac{1}{x ^{4}} d x