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Beliebt Rechnen >

integral from 0 to 1 of (5-8x^3+16x^7)

Lösung

\int_{0}^{1} (5 - 8 x^{3} + 16 x^{7}) d x

Lösung

5

Schritte zur Lösung

\int_{0}^{1} 5 - 8 x^{3} + 16 x^{7} 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_{0}^{1} 5 d x - \int_{0}^{1} 8 x^{3} d x + \int_{0}^{1} 16 x^{7} d x

\int_{0}^{1} 5 d x = 5

\int_{0}^{1} 8 x^{3} d x = 2

\int_{0}^{1} 16 x^{7} d x = 2

= 5 - 2 + 2

Vereinfache

= 5

Graph

Beliebte Beispiele

integral from-1 to 1 of 2x^2-1

\int_{- 1}^{1} 2 x^{2} - 1 d x

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\int_{x - 4}^{x + 4} y d y

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

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

integral from 8 to 10 of x^2

\int_{8}^{10} x^{2} d x

integral from 1 to e of Inx

\int_{1}^{e} I n x d x