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Beliebt Rechnen >

integral from 1 to 5 of (4x-4/x)

Lösung

\int_{1}^{5} (4 x - \frac{4}{x}) d x

Lösung

48 - 4 ln (5)

+1

Dezimale

41.56224 \dots

Schritte zur Lösung

\int_{1}^{5} 4 x - \frac{4}{x} 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}^{5} 4 x d x - \int_{1}^{5} \frac{4}{x} d x

\int_{1}^{5} 4 x d x = 48

\int_{1}^{5} \frac{4}{x} d x = 4 ln (5)

= 48 - 4 ln (5)

Graph

Beliebte Beispiele

inverselaplace 2/(s^2+2s+3)

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\int \frac{x ^{3}}{( 1 + 5 x ^{2} ) ^{3}} d x

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\int 4 x^{2} 3 x^{3} + 2 d x

derivative of (15x^6/(3x))

\frac{d}{d x} (\frac{15 x ^{6}}{3 x})

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n = 0 \sum \infty \frac{1}{n ^{0.5}}