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Beliebt Rechnen >

integral from 2 to 4 of (x^2+8)/(x^2)

Lösung

\int_{2}^{4} \frac{x ^{2} + 8}{x ^{2}} d x

Lösung

4

Schritte zur Lösung

\int_{2}^{4} \frac{x ^{2} + 8}{x ^{2}} d x

Multipliziere aus

\frac{x ^{2} + 8}{x ^{2}} : 1 + \frac{8}{x ^{2}}

= \int_{2}^{4} 1 + \frac{8}{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_{2}^{4} 1 d x + \int_{2}^{4} \frac{8}{x ^{2}} d x

\int_{2}^{4} 1 d x = 2

\int_{2}^{4} \frac{8}{x ^{2}} d x = 2

= 2 + 2

Vereinfache

= 4

Graph

Beliebte Beispiele

integral of ((6x^512x^4+9x^3)/(3x^2))

\int (\frac{6 x ^{5} 12 x ^{4} + 9 x ^{3}}{3 x ^{2}}) d x

inverselaplace 1/((s^2+1)(s^2+4s+8))

in v erse l a pl a ce \frac{1}{( s ^{2} + 1 ) ( s ^{2} + 4 s + 8 )}

derivative f(x)=sqrt(x^2+5)

d er i v a t i v e f (x) = x^{2} + 5

y y^{^{'}} - 16 e^{x} = 0

d/(dy)(e^{-y^2})

\frac{d}{d y} (e^{- y^{2}})