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Beliebt Rechnen >

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

Lösung

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

Lösung

36

Schritte zur Lösung

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

\int_{- 3}^{3} x^{2} d x = 18

\int_{- 3}^{3} 9 d x = 54

= - 18 + 54

Vereinfache

= 36

Graph

Beliebte Beispiele

integral from 2 to 5 of 3/x

\int_{2}^{5} \frac{3}{x} d x

integral from-8 to 8 of x^3

\int_{- 8}^{8} x^{3} d x

integral from 0 to 4 of x-1

\int_{0}^{4} x - 1 d x

integral from 0 to 2 of 7x(x^2+1)^2

\int_{0}^{2} 7 x (x^{2} + 1)^{2} d x

integral from 3 to 6 of 2(x-4)^2

\int_{3}^{6} 2 (x - 4)^{2} d x