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Beliebt Rechnen >

integral from-3 to 0 of (1+sqrt(9-x^2))

Lösung

\int_{- 3}^{0} (1 + 9 - x^{2}) d x

Lösung

3 + \frac{9 π}{4}

+1

Dezimale

10.06858 \dots

Schritte zur Lösung

\int_{- 3}^{0} 1 + 9 - 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_{- 3}^{0} 1 d x + \int_{- 3}^{0} 9 - x^{2} d x

\int_{- 3}^{0} 1 d x = 3

\int_{- 3}^{0} 9 - x^{2} d x = \frac{9 π}{4}

= 3 + \frac{9 π}{4}

Graph

Beliebte Beispiele

(d^2)/(dx^2)(1/(x^4))

\frac{d ^{2}}{d x ^{2}} (\frac{1}{x ^{4}})

sum from n=1 to infinity of 4^{-2n}

n = 1 \sum \infty 4^{- 2 n}

y^{^{'}} = y \cdot (x + 1)

tangent x+2sin(x)

t an g e n t x + 2 sin (x)

derivative f(x)= x/(x^2+9)

d er i v a t i v e f (x) = \frac{x}{x ^{2} + 9}