integral from 1 to 2 of ln(5x)

Lösung

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

ln (20) - 1

Dezimale

1.99573 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

= [x ln (5 x) - \int 1 d x]_{1}^{2}

\int 1 d x = x

= [x ln (5 x) - x]_{1}^{2}

Berechne die Grenzen:

2 ln (10) - 1 - ln (5)

= 2 ln (10) - 1 - ln (5)

Vereinfache

= ln (20) - 1

\int_{- 5}^{2} \frac{x + 5}{x - 3} d x

\int_{2}^{6} ∣ x - 3 ∣ d x

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