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Beliebt Rechnen >

integral from 2 to 6 of (x+1/x)

Lösung

\int_{2}^{6} (x + \frac{1}{x}) d x

Lösung

16 + ln (3)

+1

Dezimale

17.09861 \dots

Schritte zur Lösung

\int_{2}^{6} x + \frac{1}{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_{2}^{6} x d x + \int_{2}^{6} \frac{1}{x} d x

\int_{2}^{6} x d x = 16

\int_{2}^{6} \frac{1}{x} d x = ln (3)

= 16 + ln (3)

Graph

Beliebte Beispiele

derivative of 2x*sin(x)

\frac{d}{d x} (2 x \cdot sin (x))

derivative of sin^2((5pi/6))

\frac{d}{d x} (sin^{2} (\frac{5 π}{6}))

y^'=2x+y,y(0)=1

y^{^{'}} = 2 x + y, y (0) = 1

inverselaplace (9s)/(9s^2+1)

in v erse l a pl a ce \frac{9 s}{9 s ^{2} + 1}

integral of ((x+6))/((x+2)^2)

\int \frac{( x + 6 )}{( x + 2 ) ^{2}} d x