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Beliebt Rechnen >

integral from-8 to 2 of sqrt(16-6x)-x

Lösung

\int_{- 8}^{2} 16 - 6 x - x d x

Lösung

86

Schritte zur Lösung

\int_{- 8}^{2} 16 - 6 x - 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_{- 8}^{2} 16 - 6 x d x - \int_{- 8}^{2} x d x

\int_{- 8}^{2} 16 - 6 x d x = 56

\int_{- 8}^{2} x d x = - 30

= 56 - (- 30)

Vereinfache

= 86

Graph

Beliebte Beispiele

integral of 2/(sqrt(x^2+1))

\int \frac{2}{x ^{2} + 1} d x

x^{2} y^{^{'}} = x y + 3 y^{2}

\frac{d s}{d s}

limit as x approaches 0 of cos^{2/x}(x)

x \to 0 lim (cos^{\frac{2}{x}} (x))

(dy)/(dx)=sin(9x)

\frac{d y}{d x} = sin (9 x)