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Beliebt Rechnen >

integral from 0 to 16 of 2sqrt(x)-x/2

Lösung

\int_{0}^{16} 2 x - \frac{x}{2} d x

Lösung

\frac{64}{3}

+1

Dezimale

21.33333 \dots

Schritte zur Lösung

\int_{0}^{16} 2 x - \frac{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_{0}^{16} 2 x d x - \int_{0}^{16} \frac{x}{2} d x

\int_{0}^{16} 2 x d x = \frac{256}{3}

\int_{0}^{16} \frac{x}{2} d x = 64

= \frac{256}{3} - 64

Vereinfache

\frac{256}{3} - 64 : \frac{64}{3}

= \frac{64}{3}

Graph

Beliebte Beispiele

limit as x approaches-1 of |x|

x \to - 1 lim (∣ x ∣)

y^{''}-4y^'+13y=0

y^{^{''}} - 4 y^{^{'}} + 13 y = 0

fläche f(x)= 2/(x^2+1),|x|

a re a f (x) = \frac{2}{x ^{2} + 1}, ∣ x ∣

integral of (x-1)^2sin^2(x)

\int (x - 1)^{2} sin^{2} (x) d x

tangent f(x)= 9/(x^2),\at x=3

t an g e n t f (x) = \frac{9}{x ^{2}}, at x = 3