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Beliebt Rechnen >

integral from 1 to 3 of 3/x-3/(x^2)

Lösung

\int_{1}^{3} \frac{3}{x} - \frac{3}{x ^{2}} d x

Lösung

3 ln (3) - 2

+1

Dezimale

1.29583 \dots

Schritte zur Lösung

\int_{1}^{3} \frac{3}{x} - \frac{3}{x ^{2}} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

\int_{1}^{3} \frac{3}{x ^{2}} d x = 2

= 3 ln (3) - 2

Graph

Beliebte Beispiele

integral of x^3e^{-0.25x}

\int x^{3} e^{- 0.25 x} d x

derivative of 3*\sqrt[3]{x}

\frac{d}{d x} (3 \cdot 3 x)

f^{^{'}} (x) = 3 x

y^'+y=(e^x)/(y^2)

y^{^{'}} + y = \frac{e ^{x}}{y ^{2}}

derivative of (x^2+1/(sqrt(x)))

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