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Beliebt Rechnen >

integral from 1 to 4 of (x^2-2x+5)

Lösung

\int_{1}^{4} (x^{2} - 2 x + 5) d x

Lösung

21

Schritte zur Lösung

\int_{1}^{4} x^{2} - 2 x + 5 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}^{4} x^{2} d x - \int_{1}^{4} 2 x d x + \int_{1}^{4} 5 d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 2 x d x = 15

\int_{1}^{4} 5 d x = 15

= 21 - 15 + 15

Vereinfache

= 21

Graph

Beliebte Beispiele

integral from 0 to 2 of 8x^3-x^6

\int_{0}^{2} 8 x^{3} - x^{6} d x

integral from 2 to 6 of 1/4 x

\int_{2}^{6} \frac{1}{4} x d x

integral from 0 to 1-x-y of z

\int_{0}^{1 - x - y} z d z

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\int_{- π}^{0} (π + x) cos (n x) d x

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\int_{0}^{zy} (z) d z