integral from 2 to 6 of 15ln(x+5)

Lösung

\int_{2}^{6} 15 ln (x + 5) d x

15 (11 ln (11) - 4 - 7 ln (7))

Dezimale

131.33215 \dots

Schritte zur Lösung

\int_{2}^{6} 15 ln (x + 5) d x

Entferne die Konstante:

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

= 15 \cdot \int_{2}^{6} ln (x + 5) d x

Wende U-Substitution an

= 15 \cdot \int_{7}^{11} ln (u) d u

Wende die partielle Integration an

= 15 [u ln (u) - \int 1 d u]_{7}^{11}

\int 1 d u = u

= 15 [u ln (u) - u]_{7}^{11}

Berechne die Grenzen:

11 ln (11) - 4 - 7 ln (7)

= 15 (11 ln (11) - 4 - 7 ln (7))

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

\int_{0}^{4} \frac{x}{4} d x

\int_{- \infty}^{2} \frac{1}{x ^{2} + 4} d x

\int_{1}^{5} (2 x - 5)^{3} d x

\int_{0}^{1} \frac{1}{4 t} + 9 d t