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Beliebt Rechnen >

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

Lösung

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

Lösung

ln (2) - ln (3)

+1

Dezimale

- 0.40546 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{- 3}^{- 2} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{- 3}^{- 2}

Berechne die Grenzen:

ln (2) - ln (3)

= ln (2) - ln (3)

Graph

Beliebte Beispiele

y^{''}-81y=0,y(2)=2,y(-1)=-1

y^{^{''}} - 81 y = 0, y (2) = 2, y (- 1) = - 1

derivative of x+e

\frac{d}{d x} (x + e)

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d er i v a t i v e \frac{1}{sin ( x ) cos ( x + b + c )}

integral from 0 to 1 of arcsin(x)-sin(x)

\int_{0}^{1} arcsin (x) - sin (x) d x

integral of ((3x^2+3x+1)/x)

\int (\frac{3 x ^{2} + 3 x + 1}{x}) d x