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Beliebt Rechnen >

integral from 1 to 3 of (3x^2-5x+2)

Lösung

\int_{1}^{3} (3 x^{2} - 5 x + 2) d x

Lösung

10

Schritte zur Lösung

\int_{1}^{3} 3 x^{2} - 5 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_{1}^{3} 3 x^{2} d x - \int_{1}^{3} 5 x d x + \int_{1}^{3} 2 d x

\int_{1}^{3} 3 x^{2} d x = 26

\int_{1}^{3} 5 x d x = 20

\int_{1}^{3} 2 d x = 4

= 26 - 20 + 4

Vereinfache

= 10

Graph

Beliebte Beispiele

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

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

integral from 1 to 2 of g(x)

\int_{1}^{2} g (x) d x

integral from 1 to 10 of 3x

\int_{1}^{10} 3 x d x

integral from 2 to 6 of 16-2x

\int_{2}^{6} 16 - 2 x d x

integral from 5 to 7 of x(x-5)^{12}

\int_{5}^{7} x (x - 5)^{12} d x