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Beliebt Rechnen >

integral from-5 to 5 of (x-sqrt(25-x^2))

Lösung

\int_{- 5}^{5} (x - 25 - x^{2}) d x

Lösung

- \frac{25 π}{2}

+1

Dezimale

- 39.26990 \dots

Schritte zur Lösung

\int_{- 5}^{5} x - 25 - 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_{- 5}^{5} x d x - \int_{- 5}^{5} 25 - x^{2} d x

\int_{- 5}^{5} x d x = 0

\int_{- 5}^{5} 25 - x^{2} d x = \frac{25 π}{2}

= 0 - \frac{25 π}{2}

Vereinfache

= - \frac{25 π}{2}

Graph

Beliebte Beispiele

derivative of 1/(3+(2x+1^2))

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

cos(t)y^'+sin(t)y-1=0

cos (t) y^{^{'}} + sin (t) y - 1 = 0

tangent f(x)=2sqrt(x),(1,2)

t an g e n t f (x) = 2 x, (1, 2)

integral of 4/(x(x-4)^2)

\int \frac{4}{x ( x - 4 ) ^{2}} d x

limit as x approaches 1+of arcsin(x)

x \to 1 + lim (arcsin (x))