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Beliebt Rechnen >

integral from-3 to 3 of (4+sqrt(9-x^2))

Lösung

\int_{- 3}^{3} (4 + 9 - x^{2}) d x

Lösung

24 + \frac{9 π}{2}

+1

Dezimale

38.13716 \dots

Schritte zur Lösung

\int_{- 3}^{3} 4 + 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}^{3} 4 d x + \int_{- 3}^{3} 9 - x^{2} d x

\int_{- 3}^{3} 4 d x = 24

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

= 24 + \frac{9 π}{2}

Graph

Beliebte Beispiele

integral from 1 to 3 of (2+x)

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

integral from-pi to pi of x^2sin(2x)

\int_{- π}^{π} x^{2} sin (2 x) d x

integral from 0 to 7 of x^3

\int_{0}^{7} x^{3} d x

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

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

integral from 1 to 10 of 2/x

\int_{1}^{10} \frac{2}{x} d x