integral from 1 to 3 of 9ln(x)

Lösung

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

9 (3 ln (3) - 2)

Dezimale

11.66253 \dots

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 9 \cdot \int_{1}^{3} ln (x) d x

Wende die partielle Integration an

= 9 [x ln (x) - \int 1 d x]_{1}^{3}

\int 1 d x = x

= 9 [x ln (x) - x]_{1}^{3}

Berechne die Grenzen:

3 ln (3) - 2

= 9 (3 ln (3) - 2)

\int_{0}^{t} ln (t) d t

\int_{0}^{4} x - ∣ x - 3 ∣ d x

\int_{0}^{4} (8 x - 1)^{2} d x

\int_{- 6 π}^{5 π} cos^{2} (x) d x

\int_{1}^{l n (2)} 4 e^{2 x} d x