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Beliebt Rechnen >

integral from-4 to-2 of (x^2-4)

Lösung

\int_{- 4}^{- 2} (x^{2} - 4) d x

Lösung

\frac{32}{3}

+1

Dezimale

10.66666 \dots

Schritte zur Lösung

\int_{- 4}^{- 2} x^{2} - 4 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_{- 4}^{- 2} x^{2} d x - \int_{- 4}^{- 2} 4 d x

\int_{- 4}^{- 2} x^{2} d x = \frac{56}{3}

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

= \frac{56}{3} - 8

Vereinfache

\frac{56}{3} - 8 : \frac{32}{3}

= \frac{32}{3}

Graph

Beliebte Beispiele

derivative 5x^2+x

d er i v a t i v e 5 x^{2} + x

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

y^{^{'}} = \frac{( x ^{2} + x y + y ^{2} )}{x ^{2}}

integral of xsin(x/2)

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

derivative f(t)=4t^2+5

d er i v a t i v e f (t) = 4 t^{2} + 5

fläche 3-(x^2)/2 ,1,2

a re a 3 - \frac{x ^{2}}{2}, 1, 2