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Beliebt Rechnen >

integral from 0 to 9 of |sqrt(5x+6)-x|

Lösung

\int_{0}^{9} 5 x + 6 - x d x

Lösung

\frac{9}{2} + \frac{288 - 4 6 - 34 51}{5}

+1

Dezimale

11.57869 \dots

Schritte zur Lösung

\int_{0}^{9} 5 x + 6 - x d x

Entferne die Extremwerte

= \int_{0}^{6} 5 x + 6 - x d x + \int_{6}^{9} - 5 x + 6 + x d x

\int_{0}^{6} 5 x + 6 - x d x = \frac{144 - 4 6}{5} - 18

\int_{6}^{9} - 5 x + 6 + x d x = - \frac{34 51 - 144}{5} + \frac{45}{2}

= \frac{144 - 4 6}{5} - 18 - \frac{34 51 - 144}{5} + \frac{45}{2}

Vereinfache

\frac{144 - 4 6}{5} - 18 - \frac{34 51 - 144}{5} + \frac{45}{2} : \frac{9}{2} + \frac{288 - 4 6 - 34 51}{5}

= \frac{9}{2} + \frac{288 - 4 6 - 34 51}{5}

Graph

Beliebte Beispiele

steigung (0,3),(1,0)

s l o p e (0, 3), (1, 0)

integral of (x^2)/((x-6)(x-7)^2)

\int \frac{x ^{2}}{( x - 6 ) ( x - 7 ) ^{2}} d x

laplacetransform te^{7t}

l a pl a ce t r an s f or m t e^{7 t}

(dy)/(dt)=3y+y^5,y(0)=1

\frac{d y}{d t} = 3 y + y^{5}, y (0) = 1

integral of xsec(3x^2+1)

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