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Beliebt Rechnen >

integral from-5 to 0 of (4+sqrt(25-x^2))

Lösung

\int_{- 5}^{0} (4 + 25 - x^{2}) d x

Lösung

20 + \frac{25 π}{4}

+1

Dezimale

39.63495 \dots

Schritte zur Lösung

\int_{- 5}^{0} 4 + 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}^{0} 4 d x + \int_{- 5}^{0} 25 - x^{2} d x

\int_{- 5}^{0} 4 d x = 20

\int_{- 5}^{0} 25 - x^{2} d x = \frac{25 π}{4}

= 20 + \frac{25 π}{4}

Graph

Beliebte Beispiele

limit as x approaches 8 of (x+9)/(x-8)

x \to 8 lim (\frac{x + 9}{x - 8})

y^{''}+256y=7cos(5t)

y^{^{''}} + 256 y = 7 cos (5 t)

inverselaplace (10)/(s^2+25)+4/(s-3)

in v erse l a pl a ce \frac{10}{s ^{2} + 25} + \frac{4}{s - 3}

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

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

integral of 1064-0.005x

\int 1064 - 0.005 x d x