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Beliebt Rechnen >

integral from 6 to 3 of 9x^2-4x+9

Lösung

\int_{6}^{3} 9 x^{2} - 4 x + 9 d x

Lösung

- 540

Schritte zur Lösung

\int_{6}^{3} 9 x^{2} - 4 x + 9 d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{3}^{6} 9 x^{2} - 4 x + 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}^{6} 9 x^{2} d x - \int_{3}^{6} 4 x d x + \int_{3}^{6} 9 d x)

\int_{3}^{6} 9 x^{2} d x = 567

\int_{3}^{6} 4 x d x = 54

\int_{3}^{6} 9 d x = 27

= - (567 - 54 + 27)

Vereinfache

= - 540

Graph

Beliebte Beispiele

integral from 0 to 6 of h(x)

\int_{0}^{6} h (x) d x

integral from 1 to 4 of xe^{-x}-e^{-x}

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

integral from-2 to 6 of h(x)

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

integral from 0 to 8 of 2

\int_{0}^{8} 2 d x

integral from-1 to 1 of x^3(5+x^4)^3

\int_{- 1}^{1} x^{3} (5 + x^{4})^{3} d x