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Beliebt Rechnen >

integral of sqrt(25-x^2)-3

Lösung

\int 25 - x^{2} - 3 d x

Lösung

\frac{25}{2} (arcsin (\frac{1}{5} x) + \frac{1}{2} sin (2 arcsin (\frac{1}{5} x))) - 3 x + C

Schritte zur Lösung

\int 25 - x^{2} - 3 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 25 - x^{2} d x - \int 3 d x

\int 25 - x^{2} d x = \frac{25}{2} (arcsin (\frac{1}{5} x) + \frac{1}{2} sin (2 arcsin (\frac{1}{5} x)))

\int 3 d x = 3 x

= \frac{25}{2} (arcsin (\frac{1}{5} x) + \frac{1}{2} sin (2 arcsin (\frac{1}{5} x))) - 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{25}{2} (arcsin (\frac{1}{5} x) + \frac{1}{2} sin (2 arcsin (\frac{1}{5} x))) - 3 x + C

Graph

Beliebte Beispiele

limit as x approaches 3+of 1/(x+3)

x \to 3 + lim (\frac{1}{x + 3})

(x+e^y)y^'=xe^{-y}-1

(x + e^{y}) y^{^{'}} = x e^{- y} - 1

derivative 2^{x-1}

d er i v a t i v e 2^{x - 1}

x(dy)/(dx)+5y=x^3-x

x \frac{d y}{d x} + 5 y = x^{3} - x

fläche 7e^x,7xe^{x^2},0,1

a re a 7 e^{x}, 7 x e^{x^{2}}, 0, 1