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Beliebt Rechnen >

integral from 0 to 3 of 1/(x-3)

Lösung

\int_{0}^{3} \frac{1}{x - 3} d x

Lösung

divergiert

Schritte zur Lösung

\int_{0}^{3} \frac{1}{x - 3} d x

Wende U-Substitution an

= \int_{- 3}^{0} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{- 3}^{0}

Berechne die Grenzen:

divergiert

= divergiert

Beliebte Beispiele

integral from 0 to 1 of 5x^4

\int_{0}^{1} 5 x^{4} d x

integral from 1 to 2 of 15x^2(x^3-7)^4

\int_{1}^{2} 15 x^{2} (x^{3} - 7)^{4} d x

integral from 0 to 10 of 4x

\int_{0}^{10} 4 x d x

integral from 0 to 4 of 2e^x

\int_{0}^{4} 2 e^{x} d x

integral from 0 to 1 of 6tsqrt(4t^2+1)

\int_{0}^{1} 6 t 4 t^{2} + 1 d t